Finding 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

One zero of 3x³-4x²-28x-16 is 4.
What is another zero?

• 8
• -2
• 6
• 1

One zero of 2x³-13x²+36 is 2.
What is another zero?

• 3/2
• 6
• 2
• -6

Find all rational zeros, one zero has been given.
f(x) = x³-5x²-2x+24;   -2

• -2,1,0
• -2,-3,-4
• 4,3,-2
• 0,0,0

The degree of the polynomial determines the number of roots.

• True
• False

-3x²+x+4=0
How many roots does this equation have?

• 2
• 1
• 0
• 4

Tags

CCSS.HSA-REI.B.4B

Find all zeroes given a factor of (x+3).

f(x) = 2x³ + 5x² - 6x - 9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

One zero of 4x³-17x²-150x-189 is 9.
What is another zero?

• 4
• 7
• -3
• -6

One zero of 3x³-4x²-28x-16 is 4.
What is another zero?

• 8
• -2
• 6
• 1