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vova2212 [387]
3 years ago
15

What is the complete factorization of the polynomial below?

Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0

Answer:

(x - 1)(x + 1)(x + 3).

Step-by-step explanation:

x^3 + 3x^2 - x - 3            Factor by grouping:

= x^2(x + 3) - 1(x + 3)       x+3 is common .

= (x^2 - 1)(x + 3)                x^2 - 1 is the difference of 2 squares.

= (x - 1)(x + 1)(x + 3).

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Bill is 2 years older than his brother Will. If the product of their ages is one less than five times the sum of their ages, how
Advocard [28]

Answer:

Will's age = 9 years

Bill's age = 11years

Step-by-step explanation:

Let will age = x

Bill = x +2 since he is 2 years older

x(x+2) = 5( x +x+2) - 1

Opening brackets

x² + 2x = 5(2x + 2) - 1

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Collect like terms

x² + 2x - 10x - 9 = 0

x² - 8x - 9 = 0

Solve quadratically using factorisation method by finding two factors of +9 that can add up to give -8, the coefficient of x.

The factors are -9 and +1

x² + x - 9x - 9 = 0

x(x + 1) -9( x +1)

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x = -1 or 9

Age can not be negative

Therefore,

Will's age = 9 years

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I hope this was helpful, please rate as brainliest

6 0
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