I think its C, not sure

1 answer:

7 0

Yes; you are correct.
___________________________________________________
The correct answer is:
___________________________________________________
Answer choice: [C]: " x³ − 9x² + 23x − 12 " .
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Note: (a − b) (c − d + e) = ac − ad + ae − bc + bd − be ;
___________________________________________________
(x − 4) (x² − 5x + 3) =

x * x² = x³ −

x * 5x = 5x² +

x * 3 = 3x −

4 * x² = 4x² −

-4 * 5x = -20x +

-4 * 3 = -12;
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 (x − 4) (x² − 5x + 3) =

x³ − 5x² + 3x −4x² − (-20x) + (-12) ;

= x³ − 5x² + 3x −4x² + 20x − 12 ;

= x³ − 5x² − 4x² + 3x + 20x − 12 ;

= x³ − 9x² + 23x − 12 ; which is:
__________________________________________________
Answer choice: [C]: " x³ − 9x² + 23x − 12 " .
__________________________________________________

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