is (x+1) is a factor of 4x^3+7x^2-2x-5 or not
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ǫᴜᴇsᴛɪᴏɴ :-
Is (x + 1) is a factor of 4x³ + 7x²- 2x - 5 or not ?
Aɴsᴡᴇʀ :-
x + 1 = 0
x = -1
p(x) = 4x³ + 7x²- 2x - 5
p (-1) = 4(-1)³ + 7(-1)² -2(-1) - 5
p(-1) = 4(-1) + 7(1) -2(-1) - 5
p(-1) = -4 + 7 + 2 - 5
p(-1) = 9 - 9
p(-1) = 0
yes, (x + 1) is a factor of 4x³ + 7x²- 2x - 5
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