Question

Show that (x-1)(x+2)(x+3) can be written in the form ax^3+bx^2+cx+d

Answer 1

Answer:

x³ + 4 x² + x - 6

Step-by-step explanation:

( x - 1 ) ( x + 2 ) ( x + 3 )

( x - 1 ) ( x + 2 ) = x² + 2 x - 1 x - 2 = x² + x - 2

( x² + x - 2 ) ( x + 3 ) = x³ + 3 x² + x² + 3 x - 2 x - 6 = x³ + 4 x² + x - 6

Answer 2

The expression (x-1)(x+2)(x+3) can be written as x³ + 4x² + x—6 after multiplication of the expression.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have:

= (x-1)(x+2)(x+3)

After multiplying first and second terms:

$\rm =\left(x^2+x-2\right)\left(x+3\right)$

Again multiplying:

$\rm =x^3+4x^2+x-6$

Thus, the expression (x-1)(x+2)(x+3) can be written as x³ + 4x² + x—6 after multiplication of the expression.

Learn more about the expression here:

brainly.com/question/14083225

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