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Fill in the blank so that the resulting statement is true.To divide x³+4x²-3x+6 by x-2 using synthetic division, the first step is to write

Fill in the blank so that the resulting statement is trueTo divide x4x3x6 by x2 using synthetic division the first step is to write class=

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Answer:

Explanation:

Given the polynomial:

[tex]x^3+4x^2-3x+6[/tex]

To divide the polynomial by the linear function x-2 using synthetic division, first, set the linear function equal to 0 and solve for x:

[tex]x-2=0\implies x=2[/tex]

The result is written outside the line as shown below:

Next, write the coefficients of the polynomial inside as shown above:

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