REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2...

REMAINDER AND FACTOR THEOREM

x3 – x2 – 3x + 2 by x + 3

TYPE 1

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

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.

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

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

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.

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

REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2...

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Transcript of REMAINDER AND FACTOR THEOREM… · Find the Remainder by using the Factor Theorem . 14x3 – 12x2...

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