Roots 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

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

Factor:
 x³-12x²+47x-60=0 when 5 is a root.

• (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

Find the roots of 0=x³-4x²+2x-8

• ±2,4

• ±2i,4

• ±i√2,4

• ±√2,4

Given the following polynomial f\left(x\right)=\ 4x^5-28x^4+49x^3 x = 0 has a multiplicity of __?__

Tags

CCSS.HSF-IF.C.7C

If you know 3 and 2i are roots of a polynomial function, state the polynomial factors.

• (x + 3) , (x + 2i)

• (x - 3), (x -2i), (x + 2i)

• (x - 3), (x + 3), (x - 2i), (x + 2i)

• (x -3 - 2i), (x + 3 - 2i)

Tags

CCSS.HSF-IF.C.7C

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

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

One zero of 2x³-9x²-123x-220 is -4.
What is another zero?

• 18

• 4

• 11

• -7