Question

If one of the factor of x2 + x – 20 is (x + 5). Find the other

Answer 1

I hope it will help you

Answer 2

Given,

The expression: x²+x-20

One of its factors is (x+5).

To find,

The other factor.

Solution,

We can easily solve this problem by following the given steps.

According to the question,

We have the following expression:

x²+x-20

Now, we will find its factors by splitting the middle term such that their multiplication is -20x² and subtraction gives x.

x²+5x-4x-20

Taking x common from the first two terms and -4 from the last two terms:

x(x+5)-4(x+5)

Taking (x+5) as a common factor:

(x+5)(x-4)

So, the two factors are (x+5) and (x-4).

Hence, the other factor of x²+x-20 is (x-4).