Question

if one factor of the factor of x²+x-20 is (x+5). find the other​

Answer 1

X- 4 is another factor

Answer 2

☆ Given ==》

(x+5) is one factor of x²+x-20

☆To find ==》

Other Factor

☆Solution ==》

Let (X-a) is a other factor

Now, (x-a) (x+5) are the factors of quadratic equation x²+x-20

Thus,

(x+5)(x−a)=x2+x−20

=>x2−ax+5x−5a=x2+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)