Question

Form a quadratic polynomial whose one of the zeros is -15 and sum of the zeroes is 42.

Answer 1

.α + β = 42
-15 +β =42
β= 42+15
β= 57
αβ= 57*-15
=-855
p(x) = x² -42x -855

Answer 2

Answer:

= 2 x ²- 4 2 x + 4 0 5

Step-by-step explanation:

Given : Form a quadratic polynomial whose one of the zeros is -15 and sum of the zeroes is 42.

To find : Form a quadratic polynomial whose one of the zeros is -15 and sum of the zeroes is 42.

Solution :

Let us assume that zeros of the polynomial Are a & β

So ,

a = 15

Also,

Sum of zeros is 4 2

So ,

a + β = 4 2

I 5 +β = 4 2

β = 4 2 - 1 5

β =  2 7

Now ,

Product of zero = a β 1 5 X 2 7 = 4 0 5

Let ,

P ( x ) = x ² - ( sum of zeros ) + ( Product of zeros )

= 2 x ²- 4 2 x + 4 0 5

= 2 x ²- 4 2 x + 4 0 5

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