If -4 is a zero of the quadratic polynomial x2-x-2 k-2 then find the value of k-

Given: x = minus;4 is one zero of the polynomial x2 minus; x minus;(2k + 2) Therefore, It will satisfy the above polynomial. Now, we have 42–4 2k+2=0 ...

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Standard X

Mathematics

Formation of a Quadratic Equation From It's Roots

If -4 is a ze...

Question

If −4 is a zero of the quadratic polynomial x² − x − (2k + 2) then find the value of k.

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Solution

Given: x = −4 is one zero of the polynomial x² − x −(2k + 2)
Therefore, It will satisfy the above polynomial.
Now, we have
${(- 4)}^{2} - (- 4) - (2 k + 2) = 0 \Rightarrow 16 + 4 - 2 k - 2 = 0 \Rightarrow - 2 k = - 18 \Rightarrow k = 9$

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If −4 is a zero of the quadratic polynomial x2 − x − (2k + 2) then find the value of k.

Given: x = −4 is one zero of the polynomial x2 − x −(2k + 2) Therefore, It will satisfy the above polynomial. Now, we have -42--4-2k+2=0⇒16+4-2k-2=0⇒-2k=-18⇒k=9

If −4 is a zero of the quadratic polynomial x² − x − (2k + 2) then find the value of k.

Given: x = −4 is one zero of the polynomial x² − x −(2k + 2)
Therefore, It will satisfy the above polynomial.
Now, we have
${(- 4)}^{2} - (- 4) - (2 k + 2) = 0 \Rightarrow 16 + 4 - 2 k - 2 = 0 \Rightarrow - 2 k = - 18 \Rightarrow k = 9$