Roots to Factors to Polynomials

All imaginary roots comes in pairs.

• True
• False

Tags

CCSS.HSN.CN.C.7

CCSS.HSN.CN.C.9

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8

Tags

CCSS.HSA.APR.B.3

Which of the following would be the correct factored form with roots 2 and 2i? (REMEMBER: Imaginary numbers come with a positive and negative part!)

• (x-2)(x-2i)

• (x-2)(x+2i)

• (x-2)(x-2i)(x+2i)

• (x-2i)(x+2i)

Write the polynomial in standard form given the following zeros. x = 3, -3i, 3i

• f(x) = (x-3)(x+3i)(x-3i)

• f(x) =x³ + 3x² - 9x + 27

• f(x) = x³ + 9

• f(x) = x³ - 3x² + 9x - 27

Which of the following would be the correct factored form with roots 2, 5i, and -6? (REMEMBER: Imaginary numbers come with a positive and negative part!)

• (x-2)(x-5i)(x+5i)(x+6)

• (x-2)(x-5i)(x+6)

• (x-2)(x+6)

• (x+2)(x-5i)(x+5i)(x-6)

Write the polynomial in standard form given the following zeros. x = -1, -5, 2

• f(x) = (x+1)(x+5)(x-2)

• f(x) =x³ - 4x² + 7x + 10

• f(x) = x² + 6x + 5

• f(x) = x³ + 4x² - 7x - 10

Write the polynomial in standard form given the following zeros. x = -1, -i, i

• f(x) = (x+1)(x+i)(x-i)

• f(x) =x² + 1

• f(x) = x³ + x² + x + 1

• f(x) = x³ - x² - x - 1

Which of the following would be the correct factored form with roots -2, -3, 3, 2?

• (x-2)(x+3)

• (x+2)(x+3)(x-3)(x-2)

• (x+2)(x-3)

• (x+2)(x+3)(x-2)

Which of the following would be the correct factored form with roots -4, 3i, and -9? (REMEMBER: Imaginary numbers come with a positive and negative part!)

• (x-4)(x+3i)(x-9)

• (x+4)(x-3i)(x+9)

• (x+4)(x-3i)(x+3i)(x+9)

• (x-4)(x-3i)(x+3i)(x-9)

Write the polynomial in standard form given the following zeros. x = 2, 2i, -2i

• f(x) = x³ - 2x² + 4x - 8

• f(x) = x² + 4

• f(x) = x³ + 2x² - 4x + 8

• f(x) = x² - 4