If the sum of zeros of a quadratic polynomial is 5 6 and product of zeros is , then the polynomial is: x− 2 5x + 6 a) b) x + 2 5x + 6 c) d) x− 2 6x + 5 x + 2 6x− 5

📌 CONCEPT: A polynomial is an algebraic expression consisting of variables and coefficients combined using only addition, subtraction, and multiplication, with non-negative integer exponents.

📐 RULE / FORMULA: For a quadratic polynomial ax^2 + bx + c, the sum of its zeros is -b/a and the product of its zeros is c/a.

💡 WORKED EXAMPLE: Given that the sum of zeros of a quadratic polynomial is 5/6 and the product of zeros is -2/5, we can use the rule to find the coefficients. Let's assume the polynomial is ax^2 + bx + c. Then, -b/a = 5/6 and c/a = -2/5. Since a = 1 (for simplicity), we get b = -5/6 and c = -2/5. The polynomial is x^2 - 5x/6 - 2/5, which simplifies to x^2 - 25x/30 - 4/5, and further to 6x^2 - 25x - 4.

⚠️ COMMON MISTAKE: Students often confuse the sum and product of zeros with the coefficients of the polynomial, leading to incorrect calculations.