Math, asked by swetha8513, 11 months ago

if 3/2 is a zero of polynomial 2xsquare+7x-a find a

Answers

Answered by AngelicSmiles

Answer:

2x^2 + 7x - a = 0

put 3/2 in the equation.

2 × 3/2 × 3/2 + 7 (3/2) - a = 0

9/2 + 21/2 - a = 0

9+21+2a/2= 0

30 + 2a = 0

2a = -30

a = -30/2

a = -15

Answered by brainlyaryan12

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P(x) = $\large{2x^2+7x-a}$

Zero of polynomial = $\frac{3}{2}$

Therefore,

P( $\frac{3}{2}$ ) = 0

=> $2×(\frac{3}{2})^2 +7(\frac{3}{2}) -a = 0$

=> $2×(\frac{9}{4}) +\frac{21}{2} -a = 0$

=> $\frac{9}{2}+\frac{21}{2} -a = 0$

=> $\frac{9+21}{2} -a = 0$

=> $\frac{30}{2} -a =0$

=> $15 - a = 0$

=> $\huge\orange{\fbox{\pink{a = 15}}}$

$\huge{\purple{\bigstar{\blue{\text{Hope it helps...}}}}}$

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