Question

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

Answer 1

Answer:

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

Step-by-step 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)