Simplify the following expression. classify the resulting polynomial. 4x (x + 1) - (3x - 8) (x + 4) a. quadratic binomial b. linear binomial c. quadratic trinomial d. quadratic monomial

Answer

x² + 4x + 32

A. quadratic binomial

Explanation

4x (x + 1) - (3x - 8) (x + 4) = (4x×x) + (4x×1)- (3x²+12x-8x-32)

                          = 4x² + 4x - 3x² -12x + 8x + 32

                           = x² + 4x + 32

The expression is a quadratic polynomial.

A. quadratic binomial

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct