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If (x + a) is a factor 2x^2 + 2ax + 5x + 10, find a.

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If (x + a) is a factor 2x2 + 2ax + 5x + 10, find a.

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Given x + a is a factor of 2x2 + 2ax + 5x + 10.

So,imageg(x) = x + a

x + a = 0

⇒x = – a

Putting the value x = – a in the given polynomial, we get

2( – a)2 + 2a( – a) + 5( – a) + 10 = 0

2a2 – 2a2 – 5a + 10 = 0

– 5a + 10 = 0

a = -10/-5

a = 2

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