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REMAINDER AND FACTOR THEOREM

REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem . When 2x3 –

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Page 1: REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem . When 2x3 –

REMAINDER AND FACTOR THEOREM

Page 2: REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem . When 2x3 –

REMAINDER AND FACTOR THEOREM

Page 3: REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem . When 2x3 –

x3 – x2 – 3x + 2 by x + 3

TYPE 1

Find the Remainder by using the Factor Theorem

Page 4: REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem . When 2x3 –

14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem

Page 5: REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem . When 2x3 –

When 2x3 – x2 – ax + 3 is divided by x + 2, the remainder is –13. Find the value of a.

Page 6: REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem . When 2x3 –

The expression 2x3 + ax2 – 8x + 4 has 2x – 1, as a factor. Find the value of the constant a. Using this value of a, find the remainder when the expression is divided by x + 1.

Page 7: REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem . When 2x3 –

When 101752 23 xxx is divided by (x – a) the remainder is 42 3 a . Find a.

Page 8: REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem . When 2x3 –

What number should be added to 329 23 xxx so that the remainder may be 5 when divided by (x – 2)?

Page 9: REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem . When 2x3 –

TYPE 2

4x3 – 12x2 + ax + b has x – 3 as a factor, but when it is divided by x + 2 the remainder is –75. Find a and b.

Page 10: REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2 – 5x + 3 by x – 1 Find the Remainder by using the Factor Theorem . When 2x3 –

43 23 bxaxx is divided by 22 xx completely. Find a and b


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