Question

Find the Remainder when the polynomial f(x) = 4x3 – 12x² + 14x -3 is divided by (2x-1)​

Answer 1

Answer:

$2x - 1 = 0 \\ x = \frac{1}{2} \\ 4 {x}^{3} - 12 {x}^{2} + 14x - 3 \\ 4( { \frac{1}{2}) }^{3} - 12 {( \frac{1}{2} )}^{2} + 14 (\frac{1}{2} ) - 3 \\ 4( \frac{1}{8} ) - 12( \frac{1}{4} ) + 14( \frac{1}{2} ) - 3 \\ \frac{1}{2 } - 3 + 7 - 3 \\ = \frac{1 }{2} + 1 = \frac{1 + 2}{2} = \frac{3}{2}$

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