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