Solving Polynomial Equations

Solve by Factoring:
x² + 15x + 64 = 20

• {-8, 2}
• {-7, 5}
• {-11, -4}
• {-11}

Tags

CCSS.HSA-REI.B.4B

Solve by Factoring:  4x² + 11x - 3 = 0

• x = -3/4 and x = -1
• x = 4 and x = 3
• x = 1/4 and x = -3
• x = -1/4 and x = 3

Tags

CCSS.HSA-REI.B.4B

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function? (Prove by using synthetic division.

• yes
• no

Tags

CCSS.HSA.APR.B.2

x³-3x²-10x+24 ÷ x+3 (Use synthetic division.)

• x²-7x+5
• x-8
• x²-6x+8
• x+9

Tags

CCSS.HSA.APR.D.6

Factor:
 f(x) = x³-12x²+47x-60=0 when 5 is a zero. (so f(5) = 0)

• (x-3)(x-4)(x-5)=0
• (x+1)(x-4)(x-5)=0
• (x-3)(x-4)(2x-5)=0
• (x-5)(x-4)(x-5)=0

Tags

CCSS.HSA.APR.B.2

What is the remainder when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0
• -10
• -2x-10
• 2

Tags

CCSS.HSA.APR.B.2

What are the x-intercepts of the polynomial
y = 3 (x + 4) (x + 1) (x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

Tags

CCSS.HSF-IF.C.7C

How many zeros does the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1
• 2
• 3
• 4

Tags

CCSS.HSA.APR.B.3

Solve x⁴ - 256 = 0

• x = 4, x = - 4
• x = 4, x = 4i
• x = 4, x -4, x = 4i
• x = 4, x -4, x = 4i,         x = -4i

Tags

CCSS.HSA-REI.B.4B

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.C.9