Answer:
[tex]4x^3-7x^2-23x-10[/tex]
Step-by-step explanation:
So we have the expression:
[tex](4x+5)(x^2-3x-2)[/tex]
Distribute. Multiply (4x+5) to each term:
[tex](x^2)(4x+5)+(-3x)(4x+5)+(-2)(4x+5)[/tex]
Distribute:
[tex]=(4x^3+5x^2)+(-12x^2-15x)+(-8x-10)[/tex]
Combine like terms:
[tex]=(4x^3)+(5x^2-12x^2)+(-15x-8x)+(-10)[/tex]
Add and simplify:
[tex]=4x^3-7x^2-23x-10[/tex]
And this is in descending order, so it's in standard form.
