Zeros, Multiplicities, and Degrees of Polynomials

What is the degree of the polynomial?

 $g\left(x\right)=\left(x-4\right)^2\left(x+7\right)^3$  

• 6

• 5

• 1

• 9

What is the degree of the polynomial?

 $m\left(x\right)=x\left(x+5\right)\left(x-6\right)$  

• 3

• 2

• 9

• 6

What is the degree of the polynomial?

 $f(x)=(x-3)^4(x+1)^7$  

• 3

• 28

• 11

• 12

What are the zeros with multiplicities?

 $g(x)=(x+4)^2(x+8)^3(x-5)$  

• -4 multiplicity 1, -8 multiplicity 1, 5 multiplicity 3

• 4 multiplicity 2, 8 multiplicity 3, -5 multiplicity 1

• 4 multiplicity 3, 8 multiplicity 2, -5 multiplicity 1

• -4 multiplicity 2, -8 multiplicity 3, 5 multiplicity 1

Tags

CCSS.HSA.APR.B.3

What are the zeroes with multiplicity?

 $k(x)=(x+2)^{10}(x-12)^9$  

• -2 multiplicity 9, 12 multiplicity 10

• -2 multiplicity 10, 12 multiplicity 9

• 2 multiplicity 10, -12 multiplicity 9

• 2 multiplicity 9, -12 multiplicity 10

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What are the zeros with multiplicities?

 $h(x)=(x-2)(x-5)(x+6)$  

• 2 multiplicity 1, 5 multiplicity 1, 6 multiplicity 1

• -2 multiplicity 1, -5 multiplicity 1, -6 multiplicity 1

• 2 multiplicity 1, 5 multiplicity 1, -6 multiplicity 1

• -2 multiplicity 1, -5 multiplicity 1, 6 multiplicity 1

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Which polynomial has 3 factors of (x – 1) and two factors of (x + 7)?

• $b\left(x\right)=\left(x-1\right)^3\left(x+7\right)^2$

• $b\left(x\right)=\left(x-1\right)^2\left(x+7\right)^3$

• $b\left(x\right)=\left(x+1\right)^3\left(x-7\right)^2$

• $b\left(x\right)=\left(x+1\right)^2\left(x-7\right)^3$

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What is the equation of a polynomial with 5 factors of (x – 5), 6 factors of (x + 5), and 4 factors of (x + 4)?

•  $f\left(x\right)=\left(x-5\right)^5\left(x+5\right)^6\left(x+4\right)^4$  

•  $f\left(x\right)=\left(x-5\right)^6\left(x+5\right)^5\left(x+4\right)^4$  

•  $f\left(x\right)=\left(x+5\right)^5\left(x-5\right)^6\left(x-4\right)^4$  

•  $f\left(x\right)=\left(x-5\right)^4\left(x+5\right)^5\left(x-4\right)^6$  

Tags

CCSS.HSA.APR.B.2

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3
• -2, 7, 3
• 2, -7 multiplicity 3
• 2, -7, 3

Tags

CCSS.HSA.APR.B.3

Which of the following are words that mean SOLUTIONS? Choose ALL of the possible answers.

• Zeroes

• Roots

• X-intercepts

• Y-intercepts

Tags

CCSS.HSA.REI.D.10