Factoring Higher Degree Polynomials

k⁴ - 10k² - 39

• (k² - 13)(k² + 3)

• (k - 13)(k + 3)

• (k² + 15)(k² - 3)

• (k + 13)(k - 3)

Tags

CCSS.HSA.APR.C.4

x⁴ - 81

• (x² - 9)(x² + 9)

• (x - 3)²(x + 3)²

• (x - 3)(x + 3)(x² + 9)

• (x - 3)⁴

Tags

CCSS.HSA.APR.C.4

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Factor completely: 
x⁴-10x²+9

• (x-9)(x-1)

• (x²-9)(x²-1)

• (x-3)(x+3)(x²-1)

• (x+3)(x-3)(x+1)(x-1)

Tags

CCSS.HSA.APR.C.4

What are the zeros of the graph?

• -4, -1, 2, 1 multiplicity 2

• -4, -1, 1, 2

• 4, 1, -2, -1 multiplicity 2

• 4, 1, -1, -2

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

• 2 (Mult of 3), 7 (mult 1)

• 0, 2, 7

• 2 (mult of 2), 7 (mult of 3)

Tags

CCSS.HSF-IF.C.7C

Identify the function that belongs to the following graph.

• f(x)=(x+2)(x+3)(x-1)

• f(x)=(x+1)(x-4)(x-2)

• f(x)=(x+2)(x-2)(x+1)

• f(x)=(x-3)(x-2)(x+1)

Tags

CCSS.HSA.APR.B.3

Factor the quartic polynomial: 2x^4 + 12x^3 + 24x^2

• 2x^2(x^2 + 6x + 12)

• 2x^2(x^2 + 6x - 12)

• 2x^2(x^2 + 6x - 24)

• 2x^2(x^2 - 6x + 12)

Factor the quartic polynomial: -4x^4 + 36x^2 - 81

• (-2x + 3)(2x - 3)(x + 3)(x + 3)

• (-2x + 3)(2x + 3)(x + 3)(x + 3)

• (-2x - 3)(2x - 3)(x + 3)(x + 3)

• (-2x + 3)(2x - 3)(x + 3)(x - 3)

Tags

CCSS.HSA.APR.C.4

Factor the polynomial: -3x^4 + 9x^3 - 6x^2

• -3x^2(x + 1)(x - 2)

• -3x^2(x - 1)(x - 2)

• -3x^2(x - 1)(x + 2)

• -3x^2(x + 1)(x + 2)