Question

If the sum of the zeroes of the quadratic polynomial are 3 and-10 respectively. find the quadrantic polynomial
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Answer 1

Required Answer:-

Given:

• The sum of the zeros of the quadratic polynomial are 3 and -10.

To Find:

• The quadratic polynomial.

Solution:

→ General form of a quadratic polynomial is - ax² + bx + c

→ If α and β are the zeros of any quadratic polynomial, then,

If α and β are the zeros of any quadratic polynomial, then,Quadratic Polynomial will be = x² - (α + β)x + (αβ)

Here,

→ α + β = 3 and,

→ αβ = -10

Therefore, the quadratic polynomial will be,

= x² - (3)x + (-10)

= x² - 3x - 10

→ Hence, the Required Quadratic polynomial is - x² - 3x - 10

Answer:

• The Required Quadratic polynomial whose sum and product of zeros are 3 and -10 is - x² - 3x - 10.