Question

what is the sum of zeroes of quadratic polynomial 2x^2 - 3x - 5​

Answer 1

⠀⠀⠀$\huge\underline{ \mathrm{ \red{QueS{\pink{tiOn}}}}}$

what is the sum of zeroes of quadratic polynomial 2x^2 - 3x - 5

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$\large\underline{ \underline{ \red{ \bold {Given}}}}$

p(x) = 2x²- 3x - 5

$\large\underline{ \underline{ \red{ \bold {To \:Find}}}}$

we need to find sum of zeroes

⠀⠀⠀$\huge\underline{ \mathrm{ \color{blue}{Solu{\pink{tiOn}}}}}$

➩⠀⠀⠀⠀⠀2x²⠀- 3x - 5

➩⠀⠀⠀⠀⠀2x² + 2x - 5x -5

➩⠀⠀⠀⠀⠀2x(x + 1) - 5(x + 1)

➩⠀⠀⠀⠀⠀(2x - 5)(x + 1)

➩⠀⠀⠀⠀⠀$\bf\:x= \frac{5}{2}\:and x= -1$

⠀⠀⠀⠀

sum of zeroes = $\bf\: \frac{5}{2}+ (-1)$

⠀⠀⠀⠀⠀⠀⠀⠀⠀= $\bf\frac{5-2}{2}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀= $\bf\frac{3}{2}$

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sum of zeroes = $\bf\:\frac{- coefficient\:of\:x}{coefficient \:of \:{x}^{2}}$

Answer 2

${\underline{ \color{blue}{ \bf{given \: quadratic \: polynomial}}}}$

$\mathrm{p(x) = 2 {x}^{2} - 3x - 5}$

$\underline{ \bf{ \color{blue}{sum \: of \: zeroes \: of \: p(x)}}}$

$\tt \: sum \: of \: zeroes = \frac{ - (coefficient \: of \: x)}{coefficient \: of \: {x}^{2} } \\ \\ \tt \: sum \: of \: zeroes = \frac{ - ( - 3)}{2} = \frac{3}{2}$

Therefore,

the sum of zeroes of given quadratic

polynomial will be 3 / 2 .