# A factor common to x^2 +7x+10 and x^2-3x-10

2
by birendramech200

2015-02-05T13:28:28+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

(Find two numbers such that they when multiplied gives 10 and when added gives 7)

so,
the numbers are 5 and 2
so the factors are (x+5) (x+2)

similarly,

(Find two numbers such that they when multiplied gives -10 and when added gives -3)

so,
the numbers are -5 and 2
so the factors are (x-5) (x+2)

Thus the common factors are (x+5)(x-5)
2015-02-05T21:08:42+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
X^2+7x+10 =x^2+5x+2x+10 (as we get 5 & 2 From lcm of 10) =x(x+5)+2(x+5) =(x+5)(x+2) x^2-3x-10 =x^2-5x+2x-10 =x(x-5)+2(x-5) =(x-5)(x+2) so the common factor are (x+2).