Unit 3A Quiz 2 Review - Polynomial Roots

IF 2 is a root of x³ - 3x² + 2x + 2, then dividing the polynomial by (x-2) produces a remainder of ?

• 0

• 2

• 8

• 26

Tags

CCSS.HSA.APR.B.2

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

• 0, 6, -5
• 6, -5
• 0, -6, 5
• 1, -6, 5

Tags

CCSS.HSF-IF.C.7C

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSF-IF.C.7C

The degree of the polynomial determines the max number of roots.

• True

• False

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

• 1

• 3

• 8

• 4

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.C.9

• 7

• 3

• 8

• 6

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.C.9

Which of the following would be the correct factored form for a polynomial with roots at 2, -5, and 6?

• (x-2)(x-6)(x+5)

• (x+6)(x+2)(x-5)

• (x-6)(x-2)(x-5)

Tags

CCSS.HSA.APR.B.3

If you know the degree of this polynomial is 4, describe the type of roots it has.

• Two real roots

  Two imaginary roots

• Four real roots

• Four imaginary roots

• Two real roots

  One imaginary root

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.C.9

CCSS.HSN.CN.C.8

Use synthetic division to solve

 $\left(x^3+1\right)\div\left(x-1\right)$  

What is the quotient?

•  $x^2+x+1\ \frac{2}{x+1}$  

•  $x^2-x+1$  

•  $x^2+x+1\ \frac{2}{x-1}$  

•  $x^3-x^2+x$  

Tags

CCSS.HSA.APR.D.6

Which polynomial has 6 roots?

• $5x^4+2$

• $6x^5-4x-5$

• $5x^5+12x^3+7x^2+15$

• $7x^6+3x^3+12$

Tags

CCSS.HSA.APR.B.3