155k views
22 votes
25

What is the product?
(7x^2)(2x^3+5)(x^2-4x-9)

14x5 - x+ -46x3 - 58x2 - 20x -45

14x5 56x5 - 91x4 - 140x3 - 315x2
O 14x7-56x8-126x5+35x4-140X3-315x2

14x12 - 182x8 + 35x4 -455x2

User Keth
by
3.7k points

1 Answer

14 votes

Answer:

14x^7 - 56x^6 - 126x^5 + 35x^4 - 140x^3 - 315x^2

Explanation:

(7x^2)(2x^3+5)(x^2-4x-9)

(14x^5+35x^2)(x^2-4x-9)

14x^7 -56x^6 - 126x^5 + 35x^4 -140x^3 - 315x^2

I don't see a correct answer option.

The one written as:

O 14x7-56x8-126x5+35x4-140X3-315x2

comes the closest, but it is not exact. I get 56x^6, not 56x^8.

User Nick Gerner
by
4.0k points