Find the polynomial whose sum of zeroes is -8-5 and the products of zeroes is 7-5-

The correct option is A Sum of zeroes = (coefficient of x)/(co efficient of x^2) = ( 8)/5 Product of zeroes = constant term/(co efficient of x^2) = 7/5 Hence ...

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Byju's Answer

Standard X

Mathematics

Solving a Quadratic Equation by Completion of Squares Method

Find the poly...

Question

Find the polynomial whose sum of zeroes is $- \frac{8}{5}$ and the products of zeroes is $\frac{7}{5}$ .

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Solution

The correct option is B

Sum of zeroes = $\frac{(c o e f f i c i e n t o f x)}{(c o e f f i c i e n t o f x^{2})}$ = $- \frac{(- 8)}{5}$

Product of zeroes = $\frac{c o n s t a n t t e r m}{(c o e f f i c i e n t o f x^{2})}$ = $\frac{7}{5}$

Hence, polynomial is $k (x^{2} + \frac{- 8}{5} x + \frac{7}{5})$

Considering the options, k = 5.

$∴$ The required polynomial is $5 x^{2} + 8 x + 7$ .

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Find the polynomial whose sum of zeroes is −85 and the products of zeroes is 75.

The correct option is B Sum of zeroes = (coefficient of x)(co efficient of x2) = −(−8)5 Product of zeroes = constant term(co efficient of x2) = 75 Hence, polynomial is k(x2+−85x+75) Considering the options, k = 5. ∴ The required polynomial is 5x2+8x+7.

Find the polynomial whose sum of zeroes is $- \frac{8}{5}$ and the products of zeroes is $\frac{7}{5}$ .