Question

15.Find a quadratic polynomial with sum and product of its zeroes as 1 , 1 respectively is

1 point

(a) x2-2x+1 (b) 3x2-x +1 (c) x2-x+1 (d) x2-x+2​

Answer 1

Answer:

not sure about the answer I am very sorry

Answer 2

Step-by-step explanation:

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${\huge{ \underline{ \pmb {\frak{ \blue{answer : }}}}}}$

${\pmb{ \sf{ \: Let \: \: the \: polynomial \: be \: }}}$

p(x) =ax²+bx+c

$\pmb{ \sf{ \: we \: know \: that \: \: sum \: and \: product \: of \: zeroes \: be \: 1 \: \: and \: \: 1}}$

$\pmb{ \tt{sum \: of \: zeroes \: = 1}} \\ \\ \pmb{ \tt{ \green{ \frac{ - b}{a} = 1}}} \\ \\ \pmb{ \tt{assuming \: \: a \: \: = 1}} \\ \\ \pmb{ \tt{ \green{ \frac{ - b}{1} = 1}}} \\ \\ \pmb{ \tt{ \green{ b = - 1}}}$

$\pmb{ \tt{product \: \: of \: \: zeroes \: \: = 1}} \\ \\ \pmb{ \tt{ \green{ \frac{c}{a} = 1}}} \\ \\ \pmb{ \tt{assuming \: \: a = 1}} \\ \\ \pmb{ \tt{ \green{ \frac{c}{1} = 1}}} \\ \\ \pmb{ \tt{ \green{ c = 1}}}$

• a=1
• b=-1
• c=1

$\pmb{ \frak{ \purple{ \ \: \: the \: \: required \: \: quadratic \: \: equation \: = {ax}^{2} + bx + c = 0}}}$

$\pmb{ \frak{ \purple{ \implies{(1) {x}^{2} + ( - 1)x + 1}}}}$

$\pmb{ \frak{ \purple{ \implies{ {x}^{2} - x + 1 }}}}$

•°• OPTION (C) IS THE ANSWER

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