Polynomials and Polynomial Functions

g is a polynomial function with real coefficients and -2i is a zero of g. What is another zero?

• 1-2i

• 1+2i

• 2i

• -2i

Expand the expression using the Binomial Theorem.
(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625

• 16x⁴ + 160x³ +600x² +1000x + 625

• 16x⁴ + 1000x³ + 600x² + 160x +625

Simplify. (5x³-x+3)+(x³-9x²+4x)

• 6x³+3x+3

• 6x³-9x²+3x+3

• -3x³+3x+3

• 6x³-9x²+3

Simplify.

(x³+4x²-5x)-(4x³+x²-7)

• 5x³+5x²-5x-7

• 3x³-3x²+5x-7

• -3x³+5x²-5x-7

• -3x³+3x²-5x+7

Multiply.

(x-6)(5x²+x-8)

• 5x³+x²-8x

• -30x²-6x+48

• 5x³-29x²-14x+48

• 5x³+31x²-14x+48

Factor completely.

• (x+2)²(2x-7)

• (2x-7)(x-2)²

• (2x-7)(x²-4)

• (x-2)(x+2)(2x-7)

Divide.

(x³-3x²-x-10)/(x²+3x-1)

• x-6 + ((18x+6)/(x²+3x-1))

• x + ((2x-10)/(x²+3x-1))

• x + (-10/(x²+3x-1))

• x+6 + ((18x-16)/(x²+3x-1))

Factor the polynomial completely. f(x)=x³-5x²-2x+24 given (x+2) is a factor

• (x+2)(x-3)(x+4)

• (x+2)(x+3)(x-4)

• (x-2)(x-3)(x-4)

• (x+2)(x-3)(x-4)

Factor the polynomial f(x)=9x³-9x²-4x+4 given (x-1) is a factor.

• (x+1)(3x-2)²

• (x-1)(3x-2)(3x+2)

• (x-1)(3x-2)²

• (x+1)(3x-2)(3x+2)

Find all the real zeros of the function f(x)=x³-4x²-11x+30

• 3, 2, 5

• -3, -2, -5

• -3, 2, 5

• 3, -2, -5