Divide 4x² - 7x + 10 by x-2 and find the remainder.
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Step-by-step explanation:
Let p ( x ) = 4x² - 7x + 10
If ( x- 2 ) is a factor of p( x ) then x - 2 = 0 ⇒ x = 2.
On substituting " x = 2 " in p ( x ) , we get
p ( 2 ) = 4 ( 2 )² - 7 ( 2 ) + 10
= 4 ( 4 ) - 14 + 10
= 16 + 10 - 14
= 26 - 14
= 12
∴ The remainder is 12.
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