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If x+a is a factor of 2x+2ax+5x+10

Posted by Ayush Toppo 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Here the given polynomial f(x)=2x² + 2ax + 5x +10

If x+a is a factor of f(x) then x+a=0 or x = -a
{tex}\Rightarrow{/tex}f(-a) = 0
{tex}\Rightarrow{/tex}2(-a)² + 2a.(-a) + 5(-a) + 10 =0
{tex}\Rightarrow{/tex}2a² - 2a² -5a +10 =0
{tex}\Rightarrow{/tex}-5a = -10
{tex}\Rightarrow{/tex}a=2.

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CBSE > Class 10 > Mathematics