If (p(x)=9x+8) and (q(x)=4x+3), what is (p(x)-q(x))?
Answer and explanation
Correct answer: \(5x+5\)
\(p(x)-q(x)=(9x+8)-(4x+3)\). On removing the brackets, we get \(9x+8-4x-3\). Combining like terms gives \((9x-4x)+(8-3)=5x+5\), so the correct answer is \(5x+5\). In \(5x+11\), the constant terms have been added instead of subtracted. Exam tip: While subtracting polynomials, change the sign of every term in the second polynomial.
Frequently asked questions
What is the correct answer to this question?
\(5x+5\)
Why is this the correct answer?
\(p(x)-q(x)=(9x+8)-(4x+3)\). On removing the brackets, we get \(9x+8-4x-3\). Combining like terms gives \((9x-4x)+(8-3)=5x+5\), so the correct answer is \(5x+5\). In \(5x+11\), the constant terms have been added instead of subtracted. Exam tip: While subtracting polynomials, change the sign of every term in the second polynomial.
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.
