How do you factor this so you can find the roots or what x equals?

Mathematics

1 answer:

Marina86 [1]2 years ago

6 0

Use the rational roots test. The possible roots are: plus/minus 6,3,2,1

Use synthetic division and you will see that 3 is a root:

3 | 1 -3 -3 11 -6
| 3 0 -9 6
____________
1 0 -3 2 0

Use rational root again, to see that possible roots are: plus/minus 2,1

Try 2:

2 | 1 0 -3 -2
| 2 4 2
_____________
1 2 1 0

The above is x^2+2x+1 which is a perfect square: (x+1)^2

So we have the final factorization: (x-3)(x-2)(x+1)^2

So the roots are: 3, 2, -1
Where -1 is a double zero.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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