Question

[Q1] Factorize :- (a) x2 + 19x + 60 (b) 3x2 + 10x + 8​

Answer 1

Answer: (A)

x^2+15x+4x+60

X(X+15)+4(X+15)

(X+4)+(X+15)

X=-4 or X=-15

(B) 3x2-10x+8

 

−6×−4=24 the product of the coefficient of the first and the last term

 

−6+−4=−10 the split for the middle term  

Now, splitting the middle term we get

=3x 2-6x-4x+8

 

=3x(x−2)−4(x−2)

 

=(x−2)(3x+4)