Which option gives the correct sum of (2x^2-3x+1) and (x^2+5x-4)?
Answer and explanation
Correct answer: \(3x^2+2x-3\)
Add like terms: \(2x^2+x^2=3x^2\), \(-3x+5x=2x\), and \(1+(-4)=-3\). Therefore, the sum is \(3x^2+2x-3\). In option A, the coefficients of the \(x\)-terms have been combined with an incorrect sign. In exams, align like terms by degree before adding their coefficients.
Frequently asked questions
What is the correct answer to this question?
\(3x^2+2x-3\)
Why is this the correct answer?
Add like terms: \(2x^2+x^2=3x^2\), \(-3x+5x=2x\), and \(1+(-4)=-3\). Therefore, the sum is \(3x^2+2x-3\). In option A, the coefficients of the \(x\)-terms have been combined with an incorrect sign. In exams, align like terms by degree before adding their coefficients.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
