Question

$if \: p(x) = 2 {x}^{2} + 4x + 6 \: is \: quadratic \: polynomial \: then \: what \: is \: the \: value \: of \: sum \: of \: zeroes$
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Answer 1

☯︎ Qᴜᴇsᴛɪᴏɴ

if p(x) = 2x² + 4x + 6 is a quadratic polynomial then what is the value of sum of zeroes.

☯︎ Aɴsᴡᴇʀ

firstly compare the quadratic polynomial with p(x) ax² + bx + c

here, 2x² + 4x + 6

• a = 2
• b = 4
• c = 6

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and we know that,

if p(x) = ax² + bx + c then,

$\underline{ \boxed{ \bold{sum \: of \: zeroes = \frac{ - coefficient \: of \: x}{coefficient \: of \: {x}^{2} } }}}$

and

$\underline{ \boxed{ \bold{product \: of \: zeroes = \frac{constant \: term}{coefficient \: of \: {x}^{2} } }}}$

here, in p(x) = 2x² + 4x + 6

• coefficient of x² = 2
• coefficient of x = 4
• constant term = 6

then,

${\boxed{ \pink{ \bold{sum \: of \: zeroes = \cancel{ \frac{ - 4}{2} } = - 2 }}}}$

so, sum of zeroes of the polynomial p(x) = 2x² + 4x + 6 is -2