Question

find the remainder using remainder theorem when the polynomial p (x)=4x2-12x2+14x2-3 is divided by 2x-1

Answer 1

$<b>Hey mate!$

Here's ur answer dear :)
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p(x) = 4x² - 12x² + 14x² - 3

g(x) = 2x - 1

=> 2x = 1

=> x = 1/2

P(1/2) = 4 × (1/2)² - 12 × (1/2)² + 14 × (1/2)² - 3

p(1/2) = 4 × 1/4 - 12 × 1/4 + 14 × 1/4 - 3

p(1/2) = 1 - 3 + 7/2 - 3

p(1/2) = $\frac{7}{2} - 5$

p(1/2) = $\frac{7 - 35}{2} = \frac{ - 28}{2} = - 14$

p(1/2) = -14

THANKS FOR THE QUESTION!