Question

Please complete z2+9z-90=(z-6)(z+?) ...?

Answer 1

Answer would be 15.

Explanation:

We have to complete the expression given as

`z^(2)+9z-90=(z-6)(z+?))`

We will try to factorize the expression given in the left side.

`z^(2)+9z-90=z^(2)+15z-6z-90`

= z(z+15)-6(z-15)

=
`(z-6)(z-15)`

Now we will compare this factorized form with the right side of the expression.

(z-6) (z-15) (= (z-6) (z+?)

We find question mark is 15.

Therefore, the answer is 15.

Answer 2

The answer is: (z - 6)(z + 15)

z² + 9z - 90 = z*z + 15z - 6z - 6*15 =
= (z*z + 15z) - (6z + 6*15) =
= z(z + 15) - 6(z + 15) =
= (z - 6)(z + 15)