Question

Factor x3 – 4x2 7x – 28 by grouping. what is the resulting expression? (x2 – 4)(x 7) (x2 4)(x – 7) (x2 – 7)(x 4) (x2 7)(x – 4)

Answer 1

An expression has numbers, variables, and mathematical operations. The factors of the expression x³-4x²+7x-28 are (x²+7)(x-4).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The factors of the expression x³-4x²+7x-28 can be written as,

$x^3-4x^2+7x-28$

Take x² as the common factor from the first two terms while 7 as the common factor from the last two terms.

$x^3-4x^2+7x-28\\\\=x^2(x-4)+7(x-4)\\\\=(x^2+7)(x-4)$

Hence, the factors of the expression x³-4x²+7x-28 are (x²+7)(x-4).

Learn more about Expression:

brainly.com/question/13947055