Question

if alpha, and beta are the zeros of a polynomial such that alpha +beta=10 and alpha x beta =6 then write the poly​

Answer 1

Answer:

you can use x^2-(alpha +beta)x+(alpha xbeta)=0

x^2-10x+6=0 - this is ur ans

Hope it will help u

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Answer 2

Let $\displaystyle\sf{a=1.}$ Then,

$\displaystyle\longrightarrow\sf{\alpha+\beta=10}$

$\displaystyle\longrightarrow\sf{-\dfrac{b}{a}=10}$

$\displaystyle\longrightarrow\sf{b=-10}$

And,

$\displaystyle\longrightarrow\sf{\alpha\beta=6}$

$\displaystyle\longrightarrow\sf{\dfrac{c}{a}=6}$

$\displaystyle\longrightarrow\sf{c=6}$

Hence the polynomial is,

$\displaystyle\longrightarrow\sf{\underline{\underline{p(x)=x^2-10x+6}}}$