Roots of Polynomials

Find all the real zeros of the function 
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 1/2, -6
• x = -1/2, 6
• x = 4, -1/2, 6
• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

Find the roots of 0=x³-4x²+2x-8

• ±2,4
• ±2i,4
• ±i√2,4
• ±√2,4

Tags

CCSS.HSA.APR.B.3

Given the polynomial below, how many roots will it have?
 $y=x^3+5x^2-9x-2$  

• 2

• 1

• 3

• 0

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

What are the roots of the polynomial  $h\left(x\right)=\left(x-3\right)\left(x+2\right)\left(2x+1\right)$  

• -3,2,1

• 3,-2,-1

• 3,-2, $-\frac{1}{2}$  

• -3,2, $\frac{1}{2}$  

Tags

CCSS.HSF-IF.C.7C

Find the roots of the polynomial
 $n\left(x\right)=x^3-2x^2-8x$  

• 1,4,-2

• 0,2,-4

• 0,-2,4

• 1,-2,4

Solve by using Rational Root Theorem: 
2x³ - 11x² + 12x + 9 = 0

• -1, 1, 3
• -1, 3/2, 3 
• -1/2, 3, 3
• -1/2, 1, 3

Tags

CCSS.HSA.APR.B.2

What are the zeros of the polynomial?

h(x) = x⁴ + 3x³ - 55x² - 99x +630

• -5,6,-3,7

• 5 6, 3, -7

• -5, 6, 3, -7

• 6, 3, -7

Tags

CCSS.HSA.APR.B.3