Question

If one of the factor of x2+x-20 2 points
is (x+5), find the other factor.
If one of the factor of x2 + x - 20 is (x + 5), find the other factor.

a) x-4
b) x+2
c) x+4
d) X-5​

Answer 1

Answer:

x-4

Step-by-step explanation:

Let (x−a) be the other factor.

Now, (x+5),(x−a) are factors of the 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)