Multiply the polynomials and simplify by combining like terms. (x2 + 2) (4x3+x-5) = Simplify your answer

4x^5+9x^3-5x^2+2x-10

Step-by-step explanation:

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

4x^5+x^3-5x^2+8x^3+2x-10

4x^5+x^3+8x^3-5x^2+2x-10

4x^5+9x^3-5x^2+2x-10

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!