The Fundamental Theorem of Algebra

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 3 and 4i

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.C.8

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

• 0
• 4
• -9
• -15

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find all the roots of y=x³-2x²+4x-8

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

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,

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

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)

Tags

CCSS.HSA.APR.B.2

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

• 1
• 2
• 3
• 4

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)
• (x²+3x)(x²-3x)
• (x²+9)(x-3)(x+3)
• x²(x²-9)

Write the polynomial in standard form
y=(2x + 3)(x² + 4x + 1)

• 2x³ + 10x² + 14x + 4 
• 2x³ + 11x² + 14x + 3 
• -2x³ - 11x² + 14x + 5 
• x³ - 11x² + 14x + 3