Question

If x = 2 and x = 3 are zeros of the quadratic polynomial x2 + ax + b, the values of a and b respectively are

Answer 1

$Given \: Quadratic \: polynomial\\p(x) = x^{2} + ax + b$

$i ) If \: x = 2 \: is \: a \: Zero \: of \: p(x) \: then \\p(2) = 0$

$\implies 2^{2} + a \times 2 + b = 0$

$\implies 4 + 2a + b = 0 \: ---(1)$

$ii ) If \: x = 3 \: is \: a \: Zero \: of \: p(x) \: then \\p(3) = 0$

$\implies 3^{2} + a \times 3 + b = 0$

$\implies 9 + 3a + b = 0 \: ---(2)$

/* Subtract equation (1) from equation (2) , we get */

$5 + a = 0$

$\implies a = -5$

/* Put a = -5 in equation (1) , we get */

$4 + 2 \times (-5) + b = 0$

$\implies 4 - 10 + b = 0$

$\implies - 6 + b = 0$

$\implies b = 6$

Therefore.,

$\green{ a = -5 \: and \: b = 6 }$

•••♪

Answer 2

Answer:

THIS IS YOUR ANSWER