Remainder Theorem Worksheet With Answer Key

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The Remainder Theorem
3
2
x - 2x - x - 2
1) Find the remainder when
is divided by x + 1.
3
= x + 3x - 4.
2) If f(x)
Find the remainder when f(x) is divided by
x - 4.
3
x + 3x - 4
3) Find the remainder when
is divided by x + 1.
3
2
4) Given that f(x) = 6x - 3x - 17x + 7, divide f(x) by 2x + 3.
3
2
6x + 27x - 14x + 15
5) Find the remainder when
is divided
by x + 5.
6) When divided by (x + 1 ) and (x + 2), the expression
2
ax + bx + 3
leaves remainders 6 and 9 respectively. Find the values for
a
and
b
2
3
x + 3x - 5x - 6
7) Find the remainder when
is divided by x + 2.
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