Question

find the value of 'a' if x+ a is a factor ( zero) of the polynomial ?

2x^2 + 2ax + 5x + 10

Answer 1

$let \: p \: (x) = {2x}^{2} + 2ax + 5x + 10$

since , x+ a is a factor of p (x) .


therefore , p (-a) = 0


$2( { - a}^{2} ) + 2a ( - a) + 10 = 0$


${2a}^{2} - {2a}^{2} - 5a + 10 = 0$

=,> 5a= 10

$a = \frac{10}{5} = 2$


be brainly

Answer 2

$<b><u><i>$Refer to the attachment

$<b><u><i>$Given :- x + a is the factor of given polynomial

$<b><u><i>$x = - a

$<b><u><i>$a = 2(last step)