Polynomials Review Feb 26

Classify by number of terms:
3x³ – 6x

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

What is the degree of this polynomial?

2x⁴ - 3x⁵ + x

• -3

• 2

• 4

• 5

Simplify this polynomial:

3x² - x + 2 - 5x² + 8x - 5

• 8x² + 9x + 7

• -2x² + 7x - 3

• 2x² + 7x - 3

• 5x² - 3

Tags

CCSS.HSA.APR.A.1

Subtract the following polynomials:

(3x + 2) - (2x - 1)

• x + 1

• 5x + 1

• x + 3

• 5x + 3

Tags

CCSS.HSA.APR.A.1

If (x + 3) divides a polynomial function evenly, then which of these is known to be a zero of the polynomial?

• x = -3
• x = 3
• x = 0
• cannot be determined

Tags

CCSS.HSA.APR.B.2

When setting up this synthetic division, what polynomial is being divided?

• 2x⁴ + 3x² - x + 2
• 2x⁴ + 3x³ - x² + 2
• 2x⁴ - 3x² + x - 2
• cannot be determined

Tags

CCSS.HSA.APR.D.6

When setting up this synthetic division to divide 2x⁴ + 3x² - x + 2 by (x - 1), what number goes into the red circle?

• -1
• 1
• 2
• cannot be determined

Tags

CCSS.HSA.APR.D.6

Polynomial function f(x) = x⁴ - 4x³ + 5x² - 4x + 4 is known to have a zero of x = 2 with a multiplicity of 2. Does this mean (x - 2) divides into the polynomial twice?

• yes

• no

Tags

CCSS.HSA.APR.B.2

Factor this expression:
2x³ + 2x² - 24x

• 2x(x + 4)(x - 3)
• 2x(x - 4)(x - 3)
• 2x(x - 4)(x + 3)
• none of these

Find the zeros of this polynomial and describe their multiplicity.
f(x) = 3x⁴ - 12x²

• 0 multiplicity 3, -2 multiplicity 1, 2 multiplicity 1
•  -2 multiplicity 1, 2 multiplicity 1
• 0 multiplicity 2, -2 multiplicity 1, 2 multiplicity 1
• 3 multiplicity 4, -12 multiplicity 2

Tags

CCSS.HSF-IF.C.7C