0 reads0 ratings0 helpful
Which of the following trinomials is a perfect-square trinomial and can therefore be written as the product of two identical binomials?
Advertisement
Answer and explanation
Correct answer: \(x^2+10x+25\)
A perfect-square trinomial has the form \(a^2+2ab+b^2\). Here, \(x^2+10x+25=x^2+2\cdot x\cdot5+5^2\), so it is \((x+5)^2\). Option B has the same middle term but its constant term is not \(25\). Exam tip: halve the middle coefficient and square it.
Frequently asked questions
What is the correct answer to this question?
\(x^2+10x+25\)
Why is this the correct answer?
A perfect-square trinomial has the form \(a^2+2ab+b^2\). Here, \(x^2+10x+25=x^2+2\cdot x\cdot5+5^2\), so it is \((x+5)^2\). Option B has the same middle term but its constant term is not \(25\). Exam tip: halve the middle coefficient and square it.
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