Math, asked by rajat107, 1 year ago

if X + a is a factor of 2X square + 2aX + 5x + 10 then find a

Answers

Answered by dhruvsh
6
x+a is a factor of 2x²+2ax+5x+10
therefore f(-a)=0;
substituting values,
2(-a)²+2(a)(-a)+5(-a)+10=0
2a²-2a²-5a+10=0
-5a+10=0
a = -10 / -5
∴ a = 2

hope this helps you !!
# Dhruvsh
Answered by Hasti152002
3
Hey... I think this can be ur answer!!

X+a=0
x=-a
Now p(x) = 2x2 + 2ax +5x +10 =0
P(-a)=2(-a)2 + 2a(-a) +5(-a)+10=0
=2a2 - 2a2 - 5a = -10
=-5a - 10
a=2......

Hope it helps you dear ☺️☺️
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