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deff fn [24]
3 years ago
9

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

Mathematics
1 answer:
Natalka [10]3 years ago
6 0

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)

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