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Question

x - 2 is a factor of x42x3+5x24x+9


A

True

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B

False

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Solution

The correct option is B

False


x42x3+5x24x+9

x - 2 = 0

x = 2

Put x = 2 in the given expression

(2)42(2)3+5(2)24(2)+9

= 16 - 16 + 20 - 8 + 9

= 21, which is not equal to zero

(x - 2) is not a factor of the given polynomial. Hence, the above statement is false.


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