Question

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

Answer 1

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 $\boxed{a=9, b=26, c=24}$