Question

TAIEEE
32
If (-2) is a common factor of the expression 2+ax+b and 7 +x+d then
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Answer 1

Answer:

) 2 (x – 2) is a common factor of (x2 + ax + b) and (x2 + cx + d) ⇒ 4 + 2a + b = 0 ...(i) and 4 + 2c + d = 0 ...(ii) ∴ 2a + b = 2c + d ⇒ b – d = 2(c – a) ⇒ b−dc−ab−dc−a = 2.Read more on Sarthaks.com - https://www.sarthaks.com/1002653/if-x-2-is-a-common-factor-of-the-expressions-x-2-ax-b-and-x-2-cx-d