Writing Polynomial Functions from Given Zeros

What are the factors of a polynomial function if the zeros are 1 and 2?

• (x - 1)(x + 2)

• (x + 1)(x + 2)

• (x + 1)(x - 2)

• (x - 1)(x - 2)

If a polynomial function has zeros 1 and 2, and f(3) = 6, what is the leading coefficient?

• 4

• 3

• 2

• 1

What is the polynomial function in standard form if the zeros are 1 and 2, and the leading coefficient is 3?

• 3x^2 - 9x + 6

• 3x^2 - 9x - 6

• 3x^2 + 9x + 6

• 3x^2 - 3x + 6

If a polynomial function has a degree of three and zeros 3 and 2i, what is the other zero?

• -3

• 2

• 0

• -2i

What is the polynomial function in standard form if the zeros are 3, 2i, and -2i, and the leading coefficient is 2?

• 2x^3 + 6x^2 - 8x - 24

• 2x^3 - 6x^2 + 8x + 24

• 2x^3 - 6x^2 + 8x - 24

• 2x^3 - 6x^2 - 8x - 24

What is the polynomial function in standard form if the zeros are 2, -3/4, 5-2i, and 5+2i?

• 15/2(4x^4 - 45x^3 + 160x^2 - 85x - 174)

• 15/2(4x^4 - 45x^3 + 160x^2 - 85x + 174)

• 15/2(4x^4 + 45x^3 + 160x^2 - 85x - 174)

• 15/2(4x^4 - 45x^3 - 160x^2 - 85x - 174)

What is the simplified form of (x - 5 + 2i)(x - 5 - 2i)?

• x^2 + 10x + 29

• x^2 - 10x + 29

• x^2 + 10x + 25

• x^2 - 10x + 25

What is the result of foiling (4x^2 - 5x - 6)(x^2 - 10x + 29)?

• 4x^4 - 45x^3 + 160x^2 - 85x - 174

• 4x^4 - 45x^3 + 160x^2 - 85x + 174

• 4x^4 - 45x^3 - 160x^2 - 85x - 174

• 4x^4 + 45x^3 + 160x^2 - 85x - 174

What is the leading coefficient of the polynomial function if f(3) = 900 and the polynomial is 15/2(4x^4 - 45x^3 + 160x^2 - 85x - 174)?

• 15/2

• 30

• 60

• 45

What is the final polynomial function in standard form if the leading coefficient is 15/2?

• 30x^4 - 675/2x^3 + 1200x^2 - 1275/2x - 1305

• 30x^4 - 675/2x^3 + 1200x^2 - 1275/2x + 1305

• 30x^4 - 675/2x^3 - 1200x^2 - 1275/2x - 1305

• 30x^4 + 675/2x^3 + 1200x^2 - 1275/2x - 1305