Polynomials Review - Midterm

Describe the end behavior of the function y=-3x⁴+6x²-13x

• As x-->∞, y-->∞ ; as x-->-∞ , y-->-∞

• As x-->∞, y-->-∞ ; as x-->-∞ , y-->∞

• As x-->∞, y-->∞ ; as x-->-∞ , y-->∞

• As x-->∞, y-->-∞ ; as x-->-∞ , y-->-∞

Factor 2x²+26x+80

• 2(x-8)(x-5)

• (2x+5)(x+8)

• 2(x+5)(x+8)

• (x+5)(2x+16)

Which equation has end behavior of such that as x approaches -∞, y approaches -∞, and as as x approaches ∞ , y approaches ∞?

• -3x⁵+2x²+x

• 4x⁴+7x³-11

• 6x³-12x³+5x

• -x²-4

Factor 30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Factor 8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)

What is the quotient to  $(2x^4-7x^3+14x^2-55x+21)\div(2x-7)$ ?

•  $x^2+7x-3$  

•  $2x^3+14x-6$  

•  $x^2-7x+6$  

•  $2x^3+7x-3$  

Which root has even multiplicity?

• -4

• -1

• 1

• 2

(x³-8x²+6x+41)÷(x-4)

• x²-4x-7, R 2

• x²-4x-11, R 1

• x²-2x-12, R 3

• x²-2x-12, R 3

Factor: 4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Find the zeros of the polynomial and state the multiplicity of each:  $f\left(x\right)=x^3+6x^2-x-6$  

• -6, multiplicity 2; 1, multiplicity 1

• -6, multiplicity 1; -1, multiplicity 1;1, multiplicity 1

• -1, multiplicity 1;1, multiplicity 1;  6, multiplicity 1

• -6, multiplicity 1;-1, multiplicity 2