Divide using long division. State the quotient, and the remainder, r(x). (4x⁴−4x²+6x)/(x−4)

Divide using long division. State the quotient, and the remainder, r(x). (x⁴−81)/(x−3)

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (6x³+13x²−11x−15)/(3x²−x−3)

Divide using long division. State the quotient, and the remainder, r(x). (x⁴+2x³−4x²−5x−6)/(x²+x−2)

Divide using long division. State the quotient, and the remainder, r(x).$\frac{2x^5 - 8x^4 + 2x^3 + x^2}{2x^3 + 1}$

Divide using synthetic division. (2x²+x−10)÷(x−2)

Divide using synthetic division. (3x²+7x−20)÷(x+5)

Divide using synthetic division. (4x³−3x²+3x−1)÷(x−1)

Divide using synthetic division. (6x⁵−2x³+4x²−3x+1)÷(x−2)

Divide using synthetic division. (x⁵+4x⁴−3x²+2x+3)÷(x−3)

Divide using synthetic division. (x²−5x−5x³+x⁴)÷(5+x)

Divide using synthetic division. (x⁵+x³−2)/(x−1)

Divide using synthetic division. (x⁷+x⁵−10x³+12)/(x+2)

Divide using synthetic division. (x⁴−256)/(x−4)

Divide using synthetic division. (2x⁵−3x⁴+x³−x²+2x−1)/(x+2)

Use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=2x³−11x²+7x−5;f(4)

Use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=3x³−7x²−2x+5;f(−3)

Use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=x⁴+5x³+5x²−5x−6;f(3)

Use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=2x⁴−5x³−x²+3x+2; f(−1/2)

Use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=6x⁴+10x³+5x²+x+1; f(−2/3)

Use synthetic division to divide f(x)=x³−4x²+x+6 by x+1. Use the result to find all zeros of f.

Solve the equation 2x³−3x²−11x+6=0 given that -2 is a zero of f(x)=2x³−3x²−11x+6.

Solve the equation 12x³+16x²−5x−3=0 given that -3/2 is a root.

Write a polynomial that represents the length of each rectangle. Transcription: The area of the rectangle is 0.5x³ - 0.3x² + 0.22x + 0.06 square units and its width is x + 0.2 units

When 2x²−7x+9 is divided by a polynomial, the quotient is 2x-3 and the remainder is 3. Find the polynomial.

Find the inverse of f(x)=(x−10)/(x+10).

Use the Rational Zero Theorem to list all possible rational zeros for each given function. f(x)=x³+x²−4x−4

Use the Rational Zero Theorem to list all possible rational zeros for each given function. f(x)=3x⁴−11x³−x²+19x+6

Use the Rational Zero Theorem to list all possible rational zeros for each given function. f(x)=4x⁴−x³+5x²−2x−6

Use the Rational Zero Theorem to list all possible rational zeros for each given function. f(x)=x⁵−x⁴−7x³+7x²−12x−12