Polynomial Functions Review

Find all the roots of y=x³-2x²+4x-8

• -2, 2i, -2i
• 2, 2i, -2i
• 2,-2, 2i
• 1, 2i, 4

Find all the roots of y=x³+x²-x+2

• -2, (1±i√3)/2,
• 2, (1±√3)/2,
• 2, (1±i√3)/2,
• -2, (-1±i√3)/2,

Write a cubic polynomial in standard form with roots -4, 2+3i

• x³-3x+52
• x³-8x²-3x+52
• x³+8x²-3x+52
• x³-29x+52

Write a cubic polynomial in standard form with roots -1, 2-√3

• x³-3x²-3x+1
• x³-8x²-3x+52
• x³+3x²+3x+1
• x³-3x²-3x

Write a cubic polynomial in standard form with roots 3 and 4i

• x³-3x²+16x-48
• x³-8x²-3x+52
• x³+3x²+3x+1
• x³+3x²-16x+48

State the zeros of the polynomial (include multiplicity):
f(x) = (x²+9)(x -1)³(2x + 5)

• -9, 1, -5
• -9, 1 (multiplicity of 3), -5
• ± 3i , 1 (multiplicity of 3), -5∕2
• ± 3i, 1, -5

Factor f(x)= x³ - 2x²-13x - 10  given that (x - 5) is one factor.

• (x- 5)(x - 1)(x - 2)
• (x - 5)(x + 2)(x - 2)
• (x - 5)(x + 2) (x + 1)
• (x - 5)(2x - 13)

If 3 and 2 +√3 are roots of a cubic polynomial, what is the equation of this polynomial?

• f(x)= 2x³ - 7x² +10x - 3
• f(x)= x³ - 7x² +13x - 3
• f(x)= x³ +7x² +13x + 3
• f(x)= 2x³ - 7x² +13x + 3

Identify the number of roots:
x³+4x²-11x-30

• 1
• 2
• 3
• 4

Which of these is a possible root of the polynomials?
x³ - 6x² - x + 30

• 0
• 4
• -9
• -15