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xenn [34]
3 years ago
10

(x + 2)(x + 3)(x + 4) can be written in the form x + ax² + bx + c

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Answer:

a=9, b=26, c=24

Step-by-step explanation:

Let's expand the expression bit by bit.

(x+2)(x+3)=(x)(x)+(x)(3)+(2)(x)+(2)(3)=x^2+5x+6 by FOIL.

We have that (x^2+5x+6)(x+4)=x(x^2+5x+6)+4(x^2+5x+6)=x^3+5x^2+6x+4x^2+20x+24=x^3+9x^2+26x+24.

So, the answer is \boxed{a=9, b=26, c=24}

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