Question

Somebody please help it's urgent
I have to submit the assignment due tomorrow
Ch - Polynomials
Class 10th
Don't even try to post irrevalent answers otherwise your 10 answers will be reported​

Answer 1

Here ,

Firstly we have to obtain the zero from the given factor , i.e. (x+a).

The required zero = -a

Then we are given with two polynomials and the factor given is for both.

Put x = -a in both the polynomials.

And then they are equal to zero. So both of them are equal to each other. (According to Euclid's Postulate - Things equal to equals are equal to each other).

(-a)² + p·(-a) + q = 0 --> a² -ap + q = 0  

(-a)² + m·(-a) + n = 0 --> a² -am + n = 0  

Since they both equal 0, you can set them equal to each other:  

a² -ap + q = a² -am + n  

-ap + q + -am + n  

am - ap = n-q  

a(m-p) = n-q

hope it helped

:)