Question:medium
If
\[
f(x)=x^2+5x+p
\]
and
\[
g(x)=x^2+3x+q
\]
have a common factor, then
\[
(p-q)^2=
\]
If
\[
f(x)=x^2+5x+p
\]
and
\[
g(x)=x^2+3x+q
\]
have a common factor, then
\[
(p-q)^2=
\]
Show Hint
For common-factor problems, assume a common root and use substitution.
Updated On: Jul 15, 2026
- \(4(2p+3q)\)
- \(3(2p-3q)\)
- \(2(3p-2q)\)
- \(2(3p-5q)\)
Show Solution
The Correct Option is D
Solution and Explanation
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