Question

A. Find the remainder when 2x² – 3x + 5 is divided by 2x-3. Does it exactly divide the
polynomial ? State reason.
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Answer 1

Answer:

Using remainder theoram:-

2x-3

=f-(x)

$x = \frac{3}{2}$

Substituting x in the equation:-

2x² – 3x + 5

$2 \times ( { \frac{3}{2} )}^{2} - 3 \times \frac{3}{2} + 5$

$= 2 \times \frac{9}{4} - \frac{9}{2} + 5$

$= \frac{9}{2} - \frac{9}{2} + 5$

=0+5

5

Remainder=5

No, it does not divide the polynomial as remainder is 5 and for for exact division remainder should be 0 but it's 5 so 2x-3 does not divide 2x² – 3x + 5.