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Use synthetic division to find the quotient and remainder when 6x^4 + 9x^3 - 11x^2 + 20 is divided by x + 2 by completing the parts below.

Use synthetic division to find the quotient and remainder when 6x^4 + 9x^3 - 11x^2 + 20 is-example-1
User JohnSmith
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1 Answer

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Given:

6x^4 + 9x^3 - 11x^2 + 20 is divided by x + 2

a.)

To complete the given synthetic division table, we first carry down the leading coefficient and multiply the carry-down value by the zero of the denominator. We also carry the result up into the next column. The process is shown below:

Hence, the answer is shown above.

b)

We must note that the remainder is zero. Now, we write the answer in the form: quotient +remainder/(x+2)

So,


(6x^4+9x^3-11x+20)/(x+2)=6x^3-3x^2-5x+10+(0)/(x+2)

Use synthetic division to find the quotient and remainder when 6x^4 + 9x^3 - 11x^2 + 20 is-example-1
Use synthetic division to find the quotient and remainder when 6x^4 + 9x^3 - 11x^2 + 20 is-example-2
User Tomaytotomato
by
6.7k points
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