Question

If x+2 is a factor
of x²+ax+8 then a=​

Answer 1

Answer:

Hey mate here is your answer:

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→Let,

→p(x) = x² + ax + 8 ,

Given : x + 2 is factor of p(x) ,

→ x + 2 = 0 ,

→ x = -2,

Then by factor theorem p( -2 ) = 0 ,

→ p( x ) = x² + ax + 8 ,

→ p( -2 ) = ( -2 )² - 2a + 8 = 0 ,

→ 4 - 2a + 8 = 0 ,

→ 12 - 2a = 0 ,

→2a = 12 ,

→a = 6 ✓.

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Hope it helps you.