Question

x²-bx+5x-5b for the where expression.if one of the factor is x+8 write other factor.​

Answer 1

Answer:

Therefore the other factor is (x−4)

Step-by-step explanation:

Let (x−a) be the other factor.

Now, (x+5),(x−a) are factors of the quadratic equation x

2

+x−20

Thus,

(x+5)(x−a)=x

2

+x−20

=>x

2

−ax+5x−5a=x

2

+x−20

=>x(5−a)−5a=x−20

Now, considering the co-efficients of x on the both sides,

5−a=1

=>a=5−1=4

Therefore the other factor is (x−4)