Solve Polynomials

Question

Llength of rectangle is 4x^2+3x+7 and the width us 5x^2-2x+4. Find the perimeter.

Answer 1

Use the perimeter formula: £= 2 (l +w) and substitute for l and w each polynomial

When adding group like terms together:

2 (4x^2 + 3x + 7 + 5x^2 -2x +4) = 2 (9x^2 + 11) =

18^2 + 2x + 22

Answer 2

The formula for the perimeter of a rectangle is

P = 2L + 2W

P = 2(4x² + 3x + 7) + 2(5x² - 2x + 4)

Now distribute into the parentheses.

P = 8x² + 6x + 14 + 10x² - 4x + 8

Simplify by combining like powers of x.

P = 18x² + 2x + 22