Question

If x-2 is a common factor of the expressions x^2+ax+b and x^2 + cx+d, then (b-d)/(c-a).​

Answer 1

Question:-

⇒ If x-2 is a common factor of the expression $x^2 + ax + b and x^2 +cx +d$ then $\frac{b-d}{c-a}$ .?

Answer:-

⇒ x-2 = 0

⇒ x = 2 ( root of equation $x^2 + ax + b and x^2 +cx +d$ )

therefore:-

⇒ 4 + 2a + b = 0 , 4 + 2c + d = 0

⇒ 2a + b = 2c + d

⇒ 2(c-a) = b - d

⇒ b - d / c - a = 2

therefore :-

$\frac{b - d}{ c - a } = 2$

so your answer is 2....

Thank you ...

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