In the quadratic polynomial t^(2)-16 sum of zeros is K what vlaue of k is?
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In the quadratic polynomial t^ (2)-16 sum of zeros is K what vlaue of k is? Please Help . Add answer. Log in to add ...
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Step-by-step explanation:
The given quadratic polynomial is
P = t² - 10.
To find the zeros of this polynomial, we need to solve the equation P = 0 ie
t² - 16 = 0
=> ( t )² - ( 4 )² = 0
=> (t + 4)(t - 4) = 0
=> t = + 4, and t = - 4.
The zeros of the polynomial [ t² - 16] are those values of t which would make the polynomial zero. When t = +4 or - 4, t² would be +16 and t² -16 would equal zero.
So sum of zeros of t² - 16 = + 4 + (- 4) = 0.
The sum of the zeros of the given polynomial is zero.
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