If f, left bracket, x, right bracket, equals, 3, x, squared, minus, 2f(x)=3x 2 −2, then what is the remainder when f, left bracket, x, right bracketf(x) is divided by x, minus, 8x−8?
Question
If f, left bracket, x, right bracket, equals, 3, x, squared, minus, 2f(x)=3x 2 −2, then what is the remainder when f, left bracket, x, right bracketf(x) is divided by x, minus, 8x−8?
Solution
To find the remainder when f(x) = 3x^2 - 2 is divided by (x - 8), we use the Remainder Theorem. The Remainder Theorem states that the remainder of a polynomial f(x) divided by a linear divisor (x - a) is equal to f(a).
So, we substitute x = 8 into the function f(x):
f(8) = 3(8)^2 - 2 = 3(64) - 2 = 192 - 2 = 190
Therefore, the remainder when f(x) = 3x^2 - 2 is divided by (x - 8) is 190.
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