Question

Question from chapter quadratic polynomial.

If sum and product of zeros of a quadratic polynomial are 1 and -30 respectively.
Then Find that polynomial.
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Answer 1

Given :-

Sum of zeroes = 1

Product of zeroes = -30

To Find :-

Quadratic polynomial

Solution :-

We know that

Standard form of quadratic polynomial = x² - (α + β)x + αβ

Putting α + β = 1 and αβ = -30

x² - (1)x + (-30)

x² - 1x + (-30)

x² - 1x - 30

x² - x - 30

Answer 2

Answer:

Step-by-step explanation:

We know that if 2 roots are present in the equation, then it is a quadratic polynomial

Given,

Sum = 1 ; Product = -30

If a quadratic equation has sum p and product q of its roots

then, quadratic eqn is represented by,

Here, p = 1 and q = -30

Hence, equation of polynomial is x² - x - 30 = 0

Hope it helps

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