Question

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CLASS X MATHS...

1.If α and β are zeroes of the polynomial x²-2x-15 then form a quadratic polynomial whose zeroes 2α and 2β.


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Answer 1

Answer:

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Step-by-step explanation:

x² - 2x - 15

x² - 5x + 3x - 15

x ( x - 5 ) + 3 ( x - 5 )

( x + 3 ) ( x - 5 )

• ( x + 3 ) = 0

x = - 3

• ( x - 5 ) = 0

x = 5

Let alpha be - 3

and beta be 5

So the zeros of another polynomial is :-

° 2 alpha :- 2 × - 3 = - 6

° 2 beta :- 2 × 5 = 10

As we know that to form a quadratic equation we have a formula that is

So,

Sum of zeros :-

- 6 + 10 = 4

Product of zeros :-

- 6 × 10 = - 60

Now putting the value in the formula.

x² - 4x - 60

Answer 2

Answer:

$x² - 2x - 15</p><p>x² - 5x + 3x - 15</p><p>x ( x - 5 ) + 3 ( x - 5 )</p><p>( x + 3 ) ( x - 5 )</p><p>• ( x + 3 ) = 0</p><p>x = - 3</p><p>• ( x - 5 ) = 0</p><p>x = 5</p><p>Let alpha be - 3</p><p>and beta be 5</p><p>So the zeros of another polynomial is :-</p><p>° 2 alpha :- 2 × - 3 = - 6</p><p>° 2 beta :- 2 × 5 = 10</p><p>As we know that to form a quadratic equation we have a formula that is</p><p>So,</p><p>Sum of zeros :-</p><p>- 6 + 10 = 4</p><p>Product of zeros :-</p><p>- 6 × 10 = - 60</p><p>Now putting the value in the formula.</p><p>x² - 4x - 60</p><p>$