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lakkis [162]
2 years ago
7

Can someone get this? Ive been trying and cant get it

Mathematics
1 answer:
Dmitry [639]2 years ago
6 0

<u>Given</u><u> </u><u>:</u><u>-</u>

  • The roots of the function are 5 and -3 .

<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • The Quadratic function .

<u>Answer</u><u> </u><u>:</u><u>-</u>

The roots of the function are 5 and -3 . In general we can write the Quadratic function with roots π and ∆ as ,

\sf\longrightarrow f(x) = ( x - π )(x-∆)

So on using this we have ,

\sf\longrightarrow f(x) = ( x -5)( x -(-3))

\sf\longrightarrow f(x) = (x-5)(x+3)

\sf\longrightarrow f(x) = x(x-5)+3(x-5)

\sf\longrightarrow f(x) = x² -5x +3x -15

\sf\longrightarrow f(x) = x² -2x -15

<u>Hence </u><u>the</u><u> required</u><u> </u><u>answer</u><u> </u><u>is </u><u>x²</u><u> </u><u>-2x </u><u>-</u><u>1</u><u>5</u><u>.</u>

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