p(X) =x²-7x-5 when divided by x-3,find the remainder using remainder theoram
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✪ Reminder theorem ✪
Let p ( x ) p(x) be a polynomial of degree 1 or more and let \alphaα be any real number . If p ( x ) p(x) is devided by ( x - \alpha )(x−α) then reminder is p ( \alpha ) p(α) .
✪ SOLUTION ✪
Let , x - 2 = 0.
Then, x = 2
Now,
P ( x ) = x³ + 3x² - 5x + 4
P ( 2 ) = 2³ + 3 × 2² - 5 × 2 + 4
P ( 2 ) = 8 + 12 - 10 + 4
P ( 2 ) = 24 - 10
P ( 2 ) = 14
Hence,
The reminder is 14.
Step-by-step explanation:
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explanation in attachment ^^
Remainder is -17
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