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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the remainder when f(x) = x3 - 14x2 + 51x - 22 is divided by x - 7?
Solution:
Given: f(x) = x3 - 14x2 + 51x - 22
We should divide it by x - 7
Using the remainder theorem, let us evaluate the remainder
f(x) = x3 - 14x2 + 51x - 22
f(7) = (7)3 - 14(7)2 + 51(7) - 22
By further calculation,
f(7) = 343 - 14(49) + 357 - 22
So we get,
f(7) = 343 - 686 + 357 - 22
f(7) = -8
Therefore, the remainder is -8.
Find the remainder when f(x) = x3 - 14x2 + 51x - 22 is divided by x - 7?
Summary:
The remainder when f(x) = x3 - 14x2 + 51x - 22 is divided by x - 7 is -8.
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