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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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4 years ago
The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is th
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Answer:

One number is 4.2, the other is 18.8

Step-by-step explanation:

1.)  x+y=23

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2.) (x+6y)x2=4   =   2x+12y=4

3.)Use elimination/substitution to solve

     2x+12y=4  =   x+6y=2  =  x=2-6y

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I may be wrong so let me know if I am

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