High School

25

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

A. \[ 14x^5 - x - 46x^3 - 58x^2 - 20x - 45 \]

B. \[ 14x^5 + 56x^5 - 91x^4 - 140x^3 - 315x^2 \]

C. \[ 14x^7 - 56x^8 - 126x^5 + 35x^4 - 140x^3 - 315x^2 \]

D. \[ 14x^{12} - 182x^8 + 35x^4 - 455x^2 \]

Answer :

Answer:

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

Step-by-step 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.

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