Which polynomial is equivalent to the factored form 3x^2(2x + 3)(x - 7) a) 6x^4 - 33x^3 - 63x^2 b) 6x^2 - 33x - 63 c) 2x^2 - 11x - 21 d) 18x^6 - 99x^5 - 189^4

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3x² ( 2x + 3 )( x - 7 )

Let us work with ( 2x + 3)( x - 7 ) first
We need to use FOIL

2x ( x ) + 2x ( - 7 ) + 3 ( x ) + 3 ( - 7 )
2x² - 14x + 3x - 21

Combine, if any, like-terms
2x² - 11x - 21

Now let us distribute 3x² into the brackets with ( 2x² - 11x - 21 )
3x² ( 2x² - 11x - 21 )
3x² ( 2x² ) + 3x² ( - 11x ) + 3x² ( - 21 )
6x⁴ - 33x³ - 63x²

Your answer will be option A) 6x⁴ - 33x³ - 63x²

639 ×

What are the options