Question

productive
the function ( k(x) ) is the product of two polynomials.
( k(x) = left(-3x^2 + 2x
ight)(x + 3) )
write ( k(x) ) as a sum using the fewest number of terms.
( k(x) = ) input box check my work button

Explanation:

Step1: Apply distributive property

$(-3x^2 + 2x)(x + 3) = -3x^2(x + 3) + 2x(x + 3)$

Step2: Distribute each term

$=-3x^2 \cdot x -3x^2 \cdot 3 + 2x \cdot x + 2x \cdot 3$

Step3: Simplify each term

$=-3x^3 -9x^2 + 2x^2 + 6x$

Step4: Combine like terms

$=-3x^3 + (-9x^2 + 2x^2) + 6x = -3x^3 -7x^2 + 6x$

Answer:

$k(x) = -3x^3 -7x^2 + 6x$