Question

Factorise the following. x²-3x-10​

Answer 1

Answer:

Given:

x2−3x−10

Find a pair of factors of 10 which differ by 3.

The pair 5,2 works in that 5⋅2=10 and 5−2=3

Hence we find:

x2−3x−10=(x−5)(x+2)

Answer 2

Answer:

The factors are 5, -2

Step-by-step explanation:

x² - 3x - 10

Factors of -10 are -5, +2

3x can be written in the form of -5x + 2x ....(1)

Substituting it in x² - 3x - 10

x² - 5x + 2x -10 = 0

x ( x - 5 ) + 2 ( x - 5) = 0

( x - 5 ) * ( x + 2 ) = 0

x = 5, -2

Therefore the factors of x² - 3x - 10 are 5, -2.

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