Question

Find a quadratic polynomial whose one of the zero is -15& sum of the zero is 42

Answer 1

Step-by-step explanation:

please refer to the attachment

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Answer 2

$x^2-42x - 855 = 0$ is the quadratic polynomial whose one of the zero is -15 and sum of the zero is 42

Solution:

Given that, a quadratic polynomial has:

$zero = -15\\\\sum\ of\ zero = 42$

Therefore,

other zero = sum of zero - another zero

other zero = 42 - ( - 15)

other zero = 57

The general form of quadratic equation is given as:

$x^2-(\text{ sum of zeros})x + \text{product of zeros } = 0$

Find the sum of zeros:

Sum of zeros = 42

Find product of zeros:

$\text{product of zeros } = -15 \times 57 =-855$

Therefore, the quadratic polynomial is:

$x^2-42x - 855 = 0$

Thus the equation is found

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