Question

Factorise by grouping: x² - 5x + 2x - 10

Answer 1

`\boxed {\boxed {\sf (x+2)(x-5)}}`

Explanation:

To factor by grouping, first divide the polynomial into 2 groups with parentheses.

`x^2-5x+2x-10`

`(x^2-5x)+ (2x-10)`

Factor the greatest common factor (GCF) out of both binomials.

For the first binomial, the GCF is x.

`x(x-5) +(2x-10)`

For the second binomial, the GCF is 2.

`x(x-5)+2(x-5)`

Factor out the common binomial which is (x-5).

`(x+2)(x-5)`

The factorized form of x²-5x+2x-10 is (x+2)(x-5)