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If (x+a) is a factor of 2x^2+2ax+5x+10 then find a

Posted by #Aditi~ Angel???? 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Rakesh Kumar Tiwari 7 years, 3 months ago

p(x) = 2x²+2ax+5x+10 ............(i),.................... take, x+a = 0 =› x = -a since x+a is a factor of (i) ............................. therefore, ......................................................... p(-a) = 0 ............................................................ =› 2(-a)² + 2a(-a)+5(-a)+10 = 0 ...................... =› 2a² - 2a² - 5a + 10 = 0 ................................. =› -5a = -10 =› a = 2

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