Question

Find the zeroes of the quadratic polynomial
x2
– 3x + 2. Verify the

relationship between zeroes and their coefficients.​

Answer 1

Explanation:

${x}^{2} - 3x + 2$

$= x {}^{2} - x - 2x + 2$

$= x(x - 1) - 2(x - 1)$

$= (x - 2)(x - 1)$

Hence, the roots of the quadratic polynomial are 2 and 1.

$2 + 1 = \frac{ - ( - 3)}{1} ( \frac{ - b}{a}) = 3$

Therefore, sum of the roots = -b/a

$(2) (1) = \frac{2}{1} ( \frac{c}{a}) = 2$

Hence, product of the roots is equal to c/a.

Answer: 2 and 1

I hope this helps. :D