Math, asked by 83rahulrashi, 1 year ago

(b) Find a quadratic polynomial whose zeros are 4 and 3 and verify the relationship between
the zeros and the coefficients.
(CBSE 2008)

avinashkr232000: x2-7x+12

83rahulrashi: process

avinashkr232000: let zeroes are pand q so.........p+q=7andpq=12

83rahulrashi: and then polynomial formation by the help of quadratic formula!!!

avinashkr232000: (x-3)(x-4) solve it and you find polynomial

83rahulrashi: oh ok thanks man

avinashkr232000: x2-(p+q)x+pq where p and q are zeroes

83rahulrashi: ok

avinashkr232000: samajh aa gaya ya phir see batau

83rahulrashi: no samajh gaye thanks

Answers

Answered by abdul9838

$<b> <body \: bgcolor = "skyblue">$

$\bf \red{hey \: user \: here \: is \: ans} \\ \\ \bf \pink{ \huge \: solution} \\ \\ \bf \blue{given \: that} \\ \\ \bf \pink{4 \: and \: 3} \\ \\ \bf \red{let \: be} \\ \\ \bf \pink{ \alpha = 4} \\ \\ \bf \pink{and} \\ \\ \bf \pink{ \beta = 3} \\ \\ \bf \pink{ \huge \: now} \\ \\ \bf \green{ \underline{using \: to \: this \: formula}} \\ \\ \bf \pink{(x - \alpha )(x - \beta )} \\ \\ \bf \pink{(x - 4)(x - 3)} \\ \\ \bf \pink{ {x}^{2} - 3x - 4x + 12 } \\ \\ \bf \pink{ {x}^{2} - 7x + 12 = 0 } \\ \\ \bf \blue{ \underline{relationship \: between \: zeros}} \\ \\ \bf \red{ as \: we \: know \: that} \\ \\ \bf \pink{sum \: of \: zeros = - \frac{b(where \: b \: cofficient \: of \: x)}{ \: a(where \: a \: cofficient \: of \: ( {x}^{2} )}} \\ \\ \bf \pink{ \alpha + \beta = - \frac{b}{a} } \\ \\ \bf \pink{4 + 3 = - \frac{( - 7)}{1} } \\ \\ \bf \pink{7 = 7} \\ \\ \bf \blue{and} \\ \\ \bf \pink{product \: of \: zeros = \frac{c(where \: c \: constant \: term)}{a(where \: a \: cofficient \: of \: {x}^{2} )} } \\ \\ \bf \pink{ \alpha \times \beta = \frac{c}{a} } \\ \\ \bf \pink{4 \times 3 = \frac{12}{1} } \\ \\ \bf \pink{12 = 12 \: \: \: ans}$

$<marquee \: behavior = "alternate"> <marquee \: bgcolor = "orange">$

$\bf \green{ \huge \: thanks} \\ \\ \bf \purple{abdul \: is \: here} \\ \\ \bf \red{ \huge \: follow \: me}$

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(b) Find a quadratic polynomial whose zeros are 4 and 3 and verify the relationship betweenthe zeros and the coefficients.(CBSE 2008)​

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(b) Find a quadratic polynomial whose zeros are 4 and 3 and verify the relationship between
the zeros and the coefficients.
(CBSE 2008)