Question

Simplify the expression to a polynomial in standard form: (4x+5) (x^2-3x-2) PLEASE HLEP

Answer 1

Answer:

$4x^3-7x^2-23x-10$

Step-by-step explanation:

So we have the expression:

$(4x+5)(x^2-3x-2)$

Distribute. Multiply (4x+5) to each term:

$(x^2)(4x+5)+(-3x)(4x+5)+(-2)(4x+5)$

Distribute:

$=(4x^3+5x^2)+(-12x^2-15x)+(-8x-10)$

Combine like terms:

$=(4x^3)+(5x^2-12x^2)+(-15x-8x)+(-10)$

Add and simplify:

$=4x^3-7x^2-23x-10$

And this is in descending order, so it's in standard form.