Question

Use synthetic division to solve
x3- x2 - 17x-15)+(x-5). What is the quotient?
x2 + 4x + 3
x² - 6x + 13 - 180
x3+4x2+3x x2 - 6x+13-80
X+ 5

Answer 1

Answer:

x² + 4x + 3

Step-by-step explanation:

Dividing by (x - 5) then use h = 5 as divisor

5 | 1    - 1    - 17    - 15

    ↓     5     20     15

   -------------------------------

     1     4      3       0 ← remainder = 0

quotient = x² + 4x + 3

Answer 2

$x^{2} +4x+3$ is the quotient when $x^{3} - x^{2} -17x-15$ is solved using synthetic division.

What is synthetic division?

Synthetic division is a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions.

Synthetic division of the given question-

5    |     1        -1        -17        -15

                     5         20        15

---------------------------------------------

           1         4         3           |0|          

Remainder = 0

Quotient = $x^{2} + 4x+3$

Learn more about synthetic division here

https://brainly.com/question/11850611

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