If (p(x)=2x+7) and (q(x)=5x-3), what is (q(x)-p(x))?
Answer and explanation
Correct answer: \(3x-10\)
\(q(x)-p(x)=(5x-3)-(2x+7)\). On removing the brackets, the sign of each term in \(2x+7\) changes: \(5x-3-2x-7=3x-10\). Therefore, the correct answer is \(3x-10\). The option \(3x+10\) results from a sign error while subtracting the constant terms. Exam tip: When subtracting polynomials, write the second polynomial in brackets and change the signs of all its terms.
Frequently asked questions
What is the correct answer to this question?
\(3x-10\)
Why is this the correct answer?
\(q(x)-p(x)=(5x-3)-(2x+7)\). On removing the brackets, the sign of each term in \(2x+7\) changes: \(5x-3-2x-7=3x-10\). Therefore, the correct answer is \(3x-10\). The option \(3x+10\) results from a sign error while subtracting the constant terms. Exam tip: When subtracting polynomials, write the second polynomial in brackets and change the signs of all its terms.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
