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Gnom [1K]
3 years ago
14

Fill in the missing number to complete the factorization x3 + x2 - 21x - 45 = (x + 3)(x - 5)(x +

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

3

Step-by-step explanation:

Let the missing number be k.

Then we have x^3+x^2-21x-45=(x+3)(x-5)(x+k)

We expand the right hand side to get:

x^3+x^2-21x-45=x^3+kx^2-2x^2-2kx-15x-15k

By comparing constant terms we get:

-15k=-45

Divide both sides by -15

k=\frac{-45}{-15}=3

Therefore the missing number is 3

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