0 reads0 ratings0 helpful
If the quadratic expression \(x^2+px+q\) is factorised in the form \((x+m)(x+n)\), which relation between \(m\) and \(n\) is correct?
Advertisement
Answer and explanation
Correct answer: \(m+n=p\) and \(mn=q\)
Expanding \((x+m)(x+n)\) gives \(x^2+(m+n)x+mn\). Comparing corresponding terms gives \(m+n=p\) and \(mn=q\). Option B wrongly interchanges the sum and product. Exam tip: match the coefficient of \(x\) with the sum first.
Frequently asked questions
What is the correct answer to this question?
\(m+n=p\) and \(mn=q\)
Why is this the correct answer?
Expanding \((x+m)(x+n)\) gives \(x^2+(m+n)x+mn\). Comparing corresponding terms gives \(m+n=p\) and \(mn=q\). Option B wrongly interchanges the sum and product. Exam tip: match the coefficient of \(x\) with the sum first.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement