Question

The sum and product of the zeros of a quadratic polynomial in y are
-2 and -3 respectively. What is the quadratic polynomial ?​

Answer 1

This is a question of polynomial.

Answer 2

Answer:

It is stated that the sum and product of the zeros of a quadratic polynomial are -2 and -3 respectively. So, here we are asked to find out the quadratic polynomial.

For that :

General form of finding the quadratic equation is :

→ x² - (sum of zeroes)x + (product of zeroes)

Hence,

From given ::

• Sum of zeroes → -2

• Product of zeroes → - 3

Putting up the respective values, we get ::

→ x² - (sum of zeroes)x + (product of zeroes)

→ x² - ( -2 )x + ( -3 )

→ x² + 2x - 3

Therefore, the required polynomial is x² + 2x - 3

More to know ::

• When a polynomial f(x) is equated to zero , we get an equation which is known as a polynomial equation.

• If f(x) is a linear polynomial, then f (x) = 0 is called a linear equation.

For Example :- 4x - 2 = 0 etc.

• If (x) is a quadratic polynomial i.e, f(x) = ax² + bx + c , where a ≠ 0. Then f(x) = 0 i.e, ax² + bx + c = 0 , is called a quadratic equation.

★ General Form of quadratic equation ★

➤ The general form of a quadratic equation is ax² + bx + c = 0, where a, b , c are real numbers and a ≠ 0$.$

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