Question

if (x-3) is a factor of x2-2x-15, then the other factor is __( ) a) (x-5) b) (x+5) c) (x-2) d) (x+2)​

Answer 1

Answer:

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)

Step-by-step explanation:

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Answer 2

(x-5)

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