21. If
\alphaα
and
\betaβ
are the zeros of the quadratic polynomial f(x) = ax² + bx + c, then evaluate:
(given in above image)
Please give right answers only. It is very urgent.
Answers
Correct answer would be :
b.
HOPE THIS HELPS YOU
Let's understand the relationship between zeros and coefficients of a quadratic polynomial. If α and β are zeros of a quadratic polynomial, x2+bx+c=0 x 2 + b x + c = 0 , the sum of zeros is equal to the negative of b and the product of zeros is equal to the constant term c .
The standard form of a quadratic equation is ax² + bx + c=0, where ax² + bx + c where a,b and c are real numbers and a0. As, 'a' is the coefficient of x². It is known as the quadratic coefficient. 'b' is the coefficient of x. Hence, it is known as the linear coefficient .
Refer to the attachment above for details.
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In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.