Respuesta :

altavistard

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).

khuranashilpa76

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

      ⇒(x - 3)(x + 1)(x + 5)

What is polynomial division?

  • The polynomial division was 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.

Since the remainder is 0, we know that -5 is a root and (x + 5) is a factor.   we  also 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).

 

Learn more about polynomial division here:-https://brainly.com/question/24662212

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