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Brums [2.3K]
4 years ago
9

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

Mathematics
2 answers:
Pachacha [2.7K]4 years ago
8 0

Answer:

Answer would be 15.

Step-by-step 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.

notka56 [123]4 years ago
4 0
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)
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