use reminder theorem to find the remainder when p x is equal to 4 x square + 5 x minus 6 is divided by x is equal to X + 1 upon 2
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Answer:
Step-by-step explanation:
✪ Reminder theorem ✪
Let be a polynomial of degree 1 or more and let be any real number . If is devided by then reminder is .
✪ 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.
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