Question

In the quadratic polynomial P(x)=2x²-5x-1 find sum and product of the zeros.​

Answer 1

Answer:

p(4) or p(1)

Step-by-step explanation:

factorise the 2x²-5x-1

2x²-1x-4x-1

x(2x-1)

please vote me

Answer 2

$\large {\red {\underline {\overline {\mid {\sf {Aim:-{\mid }}}}}}}$

To find the sum and product of zeroes in the quadratic polynomial $p(x) = 2x² - 5x - 1$.

$\large {\red {\underline {\overline {\mid {\sf {Prerequisite \: knowledge:-{\mid }}}}}}}$

• $\small{\orange {\boxed {\bf {Sum \: of \: zeroes = α + β = \frac {-b}{a}}}}}$
• $\small{\orange {\boxed {\bf {Product \: of \: zeroes = α × β = \frac {c}{a}}}}}$

$\large {\red {\underline {\overline {\mid {\sf {Solution :-{\mid }}}}}}}$

$From\: the\: equation, \:a = 2,\: b = -5 \:and \:c = -1 \\ Using\: the\: above\: relations,\\Sum\: of \:zeroes = α + β = \frac {5}{2} \\ and\: similarly,\\\: product\: of\: zeroes = α × β = \frac{-1}{2}$