Question

Given f(x) = -2x2 + 5x - 1 and g(x) = 3x + 4 determine a simplified

algebraic expression for (fxg)(x)​

Answer 1

-6x^4 + 7x^3 + 17x^2 -4x

Step-by-step explanation:

( f x g )( x )

Substitute

[( -2x^2 + 5x -1 )( 3x + 4 )]( x )

Use the Distributive Property

[-2x^2( 3x) + 5x( 3x) - 1( 3x) -2x^2( 4) + 5x (4) -1 (4)] (x)

Simplify

( -6x^3 + 7x^2 + 17x -4)(x)

Distributive Property

-6x^4 + 7x^3 + 17x^2 -4x