Question

A qudratic polynomial whose zero are 7and 5 is​

Answer 1

Question

A qudratic polynomial whose zero are 7and 5 is

solution

$for \: qudratic \: polynomials \: \alpha \: and \: \beta \: are \: two \: zeros \:$

$so \: let \: 7 = \alpha \: and \: 5 = \beta$

$sumof \: zeros \: = \alpha + \beta \\ also \: product \: of \: zeros \: = \alpha \beta \\\ so \: we \: have \: values \: of \: \alpha \: and \: \beta \: then$

$by \: putting \: valueof \alpha \: and \: \beta \\ \\ \\ sum \: of \: zeros \: = 7 + 5 = 12 \\ so \: sum \: of \: zeros \: = 12$

$now \: product \: of \: zeros = 7 \times 5 = 35$

$product \: ofzeros = 35$

$by \: using \: formula \: \\ \\ \\ \binom{} { {x}^{2} - (\alpha + \beta) x + \alpha \beta }^{} {}$

${x}^{2} - 12x + 35$

hope it helps

be brainly