4. Polynomial Functions

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

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

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

Use synthetic division to perform each division. (x³ + 3x² +11x + 9) / x+1

Perform each division. See Examples 9 and 10. (p²+2p+20)/(p+6)

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

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = x³ - 4x² + 2x+1; k = -1

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

Use synthetic division to perform each division. (5x⁴ +5x³ + 2x² - x-3) / x+1

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

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

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

Use synthetic division to determine whether the given number k is a zero of the polynomial function. If it is not, give the value of ƒ(k). ƒ(x) = 2x³ - 6x² -9x + 4; k=1

Perform each division. See Examples 9 and 10. (x²+11x+16)/(x+8)