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(x + 2)(x + 3)(x + 4) can be written in the form x + ax² + bx + c
where a, b and care positive integers.
Work out the values of a, b and c.

x 2x 3x 4 can be written in the form x ax bx c where a b and care positive integers Work out the values of a b and c class=

Respuesta :

danielgeyfman

Answer:

[tex]a=9, b=26, c=24[/tex]

Step-by-step explanation:

Let's expand the expression bit by bit.

[tex](x+2)(x+3)=(x)(x)+(x)(3)+(2)(x)+(2)(3)=x^2+5x+6[/tex] by FOIL.

We have that [tex](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[/tex].

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

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