Question

Check whether 1/2, 3/2 are zeroes of the quadratic
Polynamal 4x2- 8x + 3​

Answer 1

Step-by-step explanation:

There are two ways in which you can prove

First one is -

Put the given values in place of X and check it is 0 or not

4

${4( \frac{1}{2} })^{2} - 8( \frac{1}{2} ) + 3$

$4( \frac{1}{4} ) - 8 \frac{1}{2} + 3$

1 - 4 + 3=0 Verified

Now

$4( \frac{3}{2} - 8( \frac{3}{2} ) + 3$

$4( \frac{9}{4} ) - 8( \frac{3}{2} ) + 3$

9-12+3=0 Verified

Or use formula

$sum \: of \: zeroes \: = \frac{ - b}{a}$

$product \: of \: zeroes \: = \frac{c}{b}$

$\frac{1}{2} + \frac{3}{2} = \frac{ - ( - 8)}{4}$

• 2= 2 verified

$\frac{1}{2} \times \frac{3}{2} = \frac{3}{4}$

=3/4=3/4 verified

Hope HELPFUL

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