Question

The sum and product of the geros of
quadritic polynomial are 2 and -15
respectively. The quadritic polynomial is​

Answer 1

Answer:

x2-15x+2x-30

x2-13x-30=0

x2-15x+2x-30=0

x(x-15)+2(x-15)=0

x+2,x-15 =0

Step-by-step explanation:

the quadratic equations is

x2 -13x-30 =0

explanation is above

Answer 2

$\:\:\:\:\:\:\:\:\:\:\:\:\:\: \large\mathfrak{\dag \: Given : }\:\:\:\:\:\:\:\:\:\:\:\:\:\:$

Sum of Zeroes ( α + β ) = 2

Product of Zeroes ( αβ ) = -15

Quadratic Polynomial = ?

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$\:\:\:\:\:\:\:\:\:\:\:\:\:\: \large\mathfrak{\dag \: Required \: Solution : }\:\:\:\:\:\:\:\:\:\:\:\:\:\:$

$\begin{gathered} \\\end{gathered}$

$\begin{gathered}\underline{\bigstar\:\textsf{According to the given Question :}}\\\\\end{gathered}$

$\begin{gathered}:\implies\sf Polynomial=x^2-(Sum\:of\:Zeroes)x+Product\:of\:Zeroes\\\\\\:\implies\sf Polynomial=x^2 -(\alpha + \beta)x + ( \alpha \beta)\\\\\\:\implies\sf Polynomial=x^2 - ( 2 )x + (-15) \times( -30)\\\\\\:\implies\underline{\boxed{\sf\pink{ Polynomial=x^2 -13x -30}}}\end{gathered}$

⠀

$\therefore\:\underline{\textsf{Required polynomial is \textbf{x ^\text2 -13x-30}}}$

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