Question

Using remainder theorem, find the remainder when 2 x³ -7 x² +5 x +9 is divided by 2 x -1.

Answer 1

10

Step-by-step explanation:

2x³ - 7x² + 5x + 9

2x - 1 = 0

=> 2x = 1

=> x = 1/2

By putting the value of x in polynomial, we get

2x³ - 7x² + 5x + 9

$= > 2( { \frac{1}{2}) }^{3} - 7( { \frac{1}{2} )}^{2} + 5( \frac{1}{2} ) + 9 \\ \\ = > \frac{1}{4} - \frac{7}{4} + \frac{5}{2} + 9 \\ \\ = > \frac{1 - 7 + 10}{4} + 9 \\ \\ = > \frac{4}{4} + 9 \\ \\ = > 1 + 9 \\ \\ = > 10$

So,

the remainder will be 10.

hope it helps.

#BeBrainly