Question

4. If a and b are zeros of the polynomial p( x) = x ^ 2 - 5x + 6 , then find the value of 2a +2 b - ​

Answer 1

Step-by-step explanation:

$p(x) = {x}^{2} - 5x + 6$

$x ^{2} - 5x + 6 = 0$

${x}^{2} - 2x - 3x + 6 = 0$

$x(x - 2) - 3(x - 2) = 0$

$(x - 2)(x - 3) = 0$

$hence \: x = 2 \: and \: 3$

HENCE THOSE VALUES ARE ZEROS IF POLYNOMIAL

$a = 3 \\ b = 2$

$2a + 2b = 2(3) + 2(2) = 10$

$= > 2a + 2b = 10$