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jek_recluse [69]
3 years ago
7

Use polynomial division to completely factor y=x^3+3x^2-13x-15 by x+5

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0

Answer:

(x - 3)(x + 1)(x + 5)

Step-by-step explanation:

I'd use synthetic division instead.  If we were to find the roots of the given polynomial, we could from them write the factors as well.

The divisor x + 5 corresponds to root x = -5.  Setting up synthetic div.,

-5   )   1    3    -13    -15

               -5     10    +15

      -----------------------------

           1   -2     -3      0

Since the remainder is 0, we know that -5 is a root and (x + 5) is a factor.  Moreover, we know that the coefficients of the quotient are 1, -2 and -3.

1x² - 2x - 3 can be factored:  the factors are (x - 3) and (x + 1).

So the end result for this problem is (x - 3)(x + 1)(x + 5).

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Answer:

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Step-by-step explanation:

* Lets explain how to solve the problem

- A toy manufacturer uses 90 pints of plastic to make 600 action figures

- they use 810 pints of plastic in an 8 hour shift

- To find how many action figures are made per hour we must to find

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∵ The toy manufacture  uses 90 pints of plastic to make 600 action

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∴ 90/600 = 810/x ⇒ x is the number of action figures

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∵ They use 810 pints in an 8 hour shift

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∴ The number per hour = 5400 ÷ 8 = 675 action figures

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Step-by-step explanation:

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