Question

Find the sum and products of its zeroes of the polynomial, f(x) =2xsquare - 5x - 12
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Answer 1

SOLUTION

TO DETERMINE

The sum and products of its zeroes of the polynomial

f(x) = 2x² - 5x - 12

CONCEPT TO BE IMPLEMENTED

If the Sum of zeroes and Product of the zeroes of a quadratic polynomial is given then the quadratic polynomial is

$\sf{ {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes }$

EVALUATION

Here the given polynomial is

f(x) = 2x² - 5x - 12

So

Sum of the zeroes = - ( - 5/2) = 5/2

Product of the Zeros = - 12/2 = 6

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Additional Information :

Polynomial :

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

Degree of a Polynomial

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

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