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arsen [322]
2 years ago
9

Use synthetic division to determine the remainder when 3x 3 − 2x 2 + x − 1 is divided by x − 1.

Mathematics
1 answer:
dolphi86 [110]2 years ago
3 0

Answer:

  1

Step-by-step explanation:

The synthetic division tableau and instructions for its use are shown in the attachment. The number at top left (1) is the zero of the divisor, the opposite of the constant -1.

__

<em>Additional comment</em>

Essentially, you're evaluating the function for x=1. The synthetic division is a long way to get the sum of coefficients, which is what the function value is when x=1.

  3 -2 +1 -1 = 1

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The given function is:

f(x)  =  ax  -  5

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Substitute x = 4 into f(x) = ax - 5

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Solve for a by adding 5 to both sides

15  +  5  =  4a  -  5  +  5

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Divide both sides by 4

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Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5

Learn more on linear functions here: brainly.com/question/15602982

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