Question

Using remainder theorem, find the remainder, when p(x) = 2x³ - 9x²+x+15 is divided by g(x)=2x-3.​

Answer 1

Answer:

$\boxed{\text{Remainder = 3}}$

Step-by-step explanation:

$2x - 3 = 0\\\\2x = 3\\\\x = \frac{3}{2}\\\\\\\boxed{x = 1.5}\\\\\\\text{\text{According to remainder theorem: }\\p(x) = Remainder}\\\\p(1.5) = 2 \text{ x } 1.5^3 - 9 \text{ x } 1.5^2 + 1.5 + 15\\\\= 2 \text{ x } 3.375 - 9 \text{ x } 2.25 + 16.5\\\\= 6.75 - 20.25 + 16.5\\\\= 23.25 - 20.25\\\\= 3\\\\\\\boxed{\text{Remainder = 3}}$

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