Question

2. If the zeroes of the quadratic polynomial x2 + bx + c , c ≠ 0are equal, then​

Answer 1

If the zeros of quadratic polynomial ax² + bx + c.c is not equal to zero are equal then c and a will have the same sign.

The zeroes of the given quadratic polynomial ax2 + bx + c, c ≠ 0 are equal. If coefficient of x² and the constant term have same sign which is c and a have the same sign. While b which is the coefficient of x can be positive/negative but not zero.

Example - x² - 4x +4 = 0

        (x +2)² = 0

         x = -2

Given the quadratic polynomial ax² + bx + c, c ≠ 0 are equal, which means D = 0

        b² - 4ac = 0

        b² = 4ac

        ac = b²/4

        ac > 0

Answer 2

Step-by-step explanation:

If the zeroes of the quadratic polynomial ax2+bx+c, where c≠0, are equal, then. Solution : ... If coefficient of x2 and constant term have the same sign i.e., c and a have the same sign. While b i.e., coefficient of x can be positive/negative but not zero.