 Is the following statement true or false?
dominates as
Choice (a) is incorrect

Try again, an exponential function will always dominate a power function.

Choice (b) is correct!

An exponential function will always dominate a power function.

Which of the following statements are correct? There may be more than one correct answer.
There is at least one mistake.
For example, choice (a)should be True.

The highest power of is 3 and this is degree of the polynomial and the coefficient of is 7 and this is the leading coefficient.

There is at least one mistake.
For example, choice (b)should be False.

Try again, read the definition of a polynomial on page 38.

There is at least one mistake.
For example, choice (c)should be False.

Try again, read the definition of a polynomial on page 38.

There is at least one mistake.
For example, choice (d)should be True.

The highest power of is 4 and this is degree of the polynomial and the coefficient of is -5 and this is the leading coefficient.

There is at least one mistake.
For example, choice (e)should be True.

In a polynomial the powers of must be positive.

There is at least one mistake.
For example, choice (f)should be False.

Try again, read the definition of a polynomial on page 38.

Correct!
1. True The highest power of is 3 and this is degree of the polynomial and the coefficient of is 7 and this is the leading coefficient.
2. False Try again, read the definition of a polynomial on page 38.
3. False Try again, read the definition of a polynomial on page 38.
4. True The highest power of is 4 and this is degree of the polynomial and the coefficient of is -5 and this is the leading coefficient.
5. True In a polynomial the powers of must be positive.
6. False Try again, read the definition of a polynomial on page 38.
Consider the graph below, which gives a global view. Which of the the following statements are correct?
Choice (a) is incorrect

Try again, the maximum number of turns is one less than the minimum possible degree.

Choice (b) is correct!

There are 4 turns so the minimum possible degree is 5. Since it is an odd power and the graph tends to as the leading coefficient is negative.

Choice (c) is incorrect

Try again, the graph tends to as and there are 4 turns.

Choice (d) is incorrect

Try again, the graph tends to as

Consider the 4 graphs below, which gives global views of the functions, and match them to possible formulae.
Choice (b) is incorrect

Try again, has to be of even degree and has to be of odd degree.

Choice (c) is incorrect

Try again, some of the formulae do not match any functions. Try expanding the factors.

Choice (d) is incorrect

Try again, some of the formulae do not match any functions. Try expanding the factors.

Sours: https://www.maths.usyd.edu.au/u/UG/JM/MATH1111/Quizzes/quiz5.html Algebra 2 Study Guide for Polynomial Quiz 1 and answer key for practice problems Classify polynomials:  Classify by set of coefficients/constant as integral, rational, or real  Classify by degree as constant, linear, quadratic, cubic, quartic, quintic, or degree n for bigger than 5  Classify by number of terms as monomial, binomial, trinomial or polynomial with n terms for bigger than 3 Examples: Integral, quadratic, trinomial Rational, quartic, monomial Real, quadratic, polynomial with 4 terms 5𝑥 2 − 2𝑥 + 3 −2 3 𝑦4 3𝑥𝑦 + 2𝑥 2 − .3𝑦 2 − √5 Practice problem answers Pg 349 #91-93 91. integral quartic polynomial with 4 terms, degree is 4, leading coefficient is 5 92. integral quintic polynomial with 4 terms, degree is 5, leading coefficient is -2 93. integral degree 7 polynomial with 4 terms, degree is 7, leading coefficient is -1 Note the following examples would not be polynomials in one variable 5xy+x 2 (too many variables) 2𝑥 2 + 3 𝑥 (no variables in denominator) √𝑥 + 3 (no variable under a radical) 2𝑥 −3 + 4𝑦 .2 (variable’s exponents must be whole numbers) Algebra 2 Study Guide for Polynomial Quiz 1 and answer key for practice problems Pg 340 #1-9, 11-14 #11 is F, #12 is about 12.97 ft, #13 is D, #14 is 5.832 units. Algebra 2 Study Guide for Polynomial Quiz 1 and answer key for practice problems Pg 327 #51-54 51. 3[ (a - 4)3 - 2(a - 4)] + 3[4(a + 5)2 – 6(a + 5) + 8] then expand use Pascal for the cube, I will include the Pascal step here (𝑎 − 4)3 = 𝑎3 + 3𝑎2 (−4) + 3𝑎(−4)2 + (−4)3 = 𝑎3 − 12𝑎2 + 48𝑎 − 64 You should be able to foil the quadratic one (degree 2) then distribute all the coefficients and collect like terms to get 3𝑎3 − 24𝑎2 + 240𝑎 + 66 52. −2[4(2𝑎 + 3)2 − 6(2𝑎 + 3) + 8] − 4[(𝑎2 + 1)3 − 2(𝑎2 + 1)] Pascal steps (𝑎2 + 1)3 = (𝑎2 )3 + 3(𝑎2 )2 + 3𝑎2 + 1 = 𝑎6 + 3𝑎4 + 3𝑎2 + 1 then foil or multiply out the quadratic one (2𝑎 + 3)2 = 4𝑎2 + 12𝑎 + 9 distribute all the coefficients and collect like terms to get −4𝑎6 − 12𝑎4 − 36𝑎2 − 72𝑎 − 48 53. 5[(𝑎2 )3 − 2(𝑎2 )] − 8[4(6 − 3𝑎)2 − 6(6 − 3𝑎) + 8] then simplify exponents, foil the quadratic, distribute coefficients and collect like terms to get 5𝑎6 − 298𝑎2 + 1008𝑎 − 928 54. −7[4(𝑎3 )2 − 6(𝑎3 ) + 8] + 6[(𝑎4 + 1)3 − 2(𝑎4 + 1)] Simplify the exponents in the first part and distribute the coefficients then use Pascal Pascal steps (𝑎4 + 1)3 = (𝑎4 )3 + 3(𝑎4 )2 + 3𝑎4 + 1 = 𝑎12 + 3𝑎8 + 𝑎4 + 1 then distribute the coefficients and collect like terms to get 6𝑎12 + 18𝑎8 − 28𝑎6 − 6𝑎4 + 42𝑎3 − 62

Polynomials are named based on two criteria

1.  the highest exponent

2. the number of terms

Polynomials are named based on two criteria

So when given a polynomial...

1.  the highest exponent

2. the number of terms

x3-4x2+3x-1

Polynomials are named based on two criteria

So when given a polynomial

The highest exponent is three

1.  the highest exponent

2. the number of terms

x3-4x2+3x-1

highest exponent

Polynomials are named based on two criteria

So when given a polynomial

The highest exponent is three

1.  the highest exponent

2. the number of terms

and the number of terms is four

x3-4x2+3x-1

1

2

3

4

four terms

Here's two charts that will aid us in naming

0

1

2

3

4

5

Exponent

constant

linear

quartic

quintic

cubic

2

4

1

3

Terms

monomial

Polynomial of 4 terms

binomial

trinomial

0

1

2

3

4

5

Exponent

constant

linear

quartic

quintic

cubic

Name the polynomial

x2-5

2

4

1

3

Terms

monomial

Polynomial of 4 terms

binomial

trinomial

Linear Binomial

Linear Monomial

0

1

2

3

4

5

Exponent

constant

linear

quartic

quintic

cubic

x3-5x+1

Match the polynomial with the name

5

x5

2

4

1

3

Terms

monomial

Polynomial of 4 terms

binomial

trinomial

0

1

2

3

4

5

Exponent

constant

linear

quartic

quintic

cubic

x-5

Match the polynomial with the name

2x4-x3

x1

2

4

1

3

Terms

monomial

Polynomial of 4 terms

binomial

trinomial

Standard form of a polynomial is ordering all terms

from the highest degree (power) to the lowest degree.

Standard form of a polynomial is ordering all terms

from the highest degree (power) to the lowest degree.

Which polynomial is in standard form?

x3 + 5x - 3x2

x3 - 3x2 + 5x

- 3x+x+ 5x

Standard form of a polynomial is ordering all terms

from the highest degree (power) to the lowest degree.

Which polynomial is in standard form?

x3 + 5x - 34

x3 - 34 + 5x

- 34 +x+ 5x

Standard form of a polynomial is ordering all terms

from the highest degree (power) to the lowest degree.

Which polynomial is in standard form?

x13 + 5x - 34 + 2x

x13 - 3x7 + 5x6 - 8

x1+ 5x8  + 7x2 - x6

x7 + 5x4  + 7x   - x2 + 8

Fill in the missing exponent so that

the polynomial will be in standard form.

x5 + 9x3  + 7x   - 6x + 8

Fill in the missing exponent so that

the polynomial will be in standard form.

Shimmy these terms so that the

polynomial is in standard form

Shimmy these terms so that the

polynomial is in standard form

Sours: https://www.thatquiz.org/tq/preview?c=jsla2cdr&s=p8ewy0
Polynomials [Full Chapter] Quiz - Class 10 Maths - CBSE NCERT Questions \u0026 Numericals

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How To Factor Polynomials The Easy Way!

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