Answer :
Answer:
x^3 -9x^2 +14x +24
Step-by-step explanation:
(x-4)(x^2 - 5x - 6)
Multiply the x by everything in the second term
x * (x^2 - 5x - 6)
x^3 -5x^2 -6x
Multiply the -4 by everything in the second term
-4 * (x^2 - 5x - 6)
-4x^2 +20x +24
Add everything together
I like to line them up vertically
x^3 -5x^2 -6x
-4x^2 +20x +24
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x^3 -9x^2 +14x +24
Answer:
(x−4)(x^2−5x−6)
=(x+−4)(x^2+−5x+−6)
=(x)(x^2)+(x)(−5x)+(x)(−6)+(−4)(x^2)+(−4)(−5x)+(−4)(−6)
=x^3−5x^2−6x−4x^2+20x+24
=x^3−9x^2+14x+24