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Use synthetic division to find the result when 3x3 + 3x² – 10x – 20 is divided byr(x)X – 2. If there is a remainder, express the result in the form q(x) +6(0)

Use Synthetic Division To Find The Result When 3x3 3x 10x 20 Is Divided ByrxX 2 If There Is A Remainder Express The Result In The Form Qx 60 class=

Sagot :

Given:

An expression:

[tex]3x^3+3x^2-10x-20[/tex]

To find:

Use synthetic division to find the result when the expression is divided by x - 2.

Solution:

The synthetic division step by step is shown below:

So, from the above division, we get the quotient 3x^2 + 9x + 8 and the remainder is -4.

Thus, the answer is:

[tex]3x^2+9x+8+\frac{-4}{x-2}[/tex]

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View image MarilyT498633
View image MarilyT498633
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