Found 3 solutions by ikleyn, josgarithmetic, ewatrrr:
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
I can instruct you immediately, without the reference to a video lesson.
1. Under given info, simply divide the given polynomial of the degree 3 by the binomial (x+5), using long division, for example.
2. You will get the quadratic polynomial as a quotient.
Find the roots of this quadratic polynomial.
The associated linear binomials will be the factors of your given polynomial of the degree 3.
That's all.
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The post by @josgarithmetic is INCORRECT.
THEREFORE, for your safety, simply IGNORE it.
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When you obtain "solutions" from @josgarithmetic, REMEMBER that
half of his posts are INCORRECT - it is the usual style of his work.
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Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
You could try factoring, or try applying Rational Roots Theorem, or attempt long division or synthetic division starting with as divisor.
-5 | 4 19 -8 -15
| -20 5 15
|------------------------
4 -1 -3
1 | 4 -1 -3
| 4 3
|_________________
4 3 0--------------meaning, facto
Roots are -5, 1, and -3/4.
------------------This contains an early arithmetic mistake and is wrong-----------------
-5 | 4 19 -8 -15
|
| -20 -5 115
|__________________________________
4 1 -23 100
This means .
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Synthetic Division:
-5 4 19 -8 -15
-20 5 +15
4 -1 -3 0
ie: (x+5)(4x^2 - x - 3) = 0
(x+5)(4x +3 )(x - 1) = 0
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