If 3 is a zero of the polynomial 2 x2-x-k- find the value of k- -CBSE 2010-

Given: x = 3 is one zero of the polynomial 2x2 + x + k Therefore, It will satisfy the above polynomial. Now, we have 232+3+k=0 #8658;21+k=0 #8658;k= 21 ...

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Standard X

Mathematics

Formation of a Quadratic Equation From It's Roots

If 3 is a zer...

Question

If 3 is a zero of the polynomial 2x² + x + k, find the value of k. [CBSE 2010]

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Solution

Given: x = 3 is one zero of the polynomial 2x² + x + k
Therefore, It will satisfy the above polynomial.
Now, we have
$2 {(3)}^{2} + 3 + k = 0 \Rightarrow 21 + k = 0 \Rightarrow k = - 21$

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If 3 is a zero of the polynomial 2x2 + x + k, find the value of k. [CBSE 2010]

Given: x = 3 is one zero of the polynomial 2x2 + x + k Therefore, It will satisfy the above polynomial. Now, we have 232+3+k=0⇒21+k=0⇒k=-21

If 3 is a zero of the polynomial 2x² + x + k, find the value of k. [CBSE 2010]

Given: x = 3 is one zero of the polynomial 2x² + x + k
Therefore, It will satisfy the above polynomial.
Now, we have
$2 {(3)}^{2} + 3 + k = 0 \Rightarrow 21 + k = 0 \Rightarrow k = - 21$