If (p(x)=5x+4) and (q(x)=2x+1), what is (p(x)-q(x))?
Answer and explanation
Correct answer: \(3x+3\)
\(p(x)-q(x)=(5x+4)-(2x+1)\). Removing the brackets gives \(5x+4-2x-1\). Combining like terms, \(5x-2x=3x\) and \(4-1=3\), so the result is \(3x+3\). \(3x+5\) results from an incorrect subtraction of the constant terms. Exam tip: when subtracting a polynomial, change the sign of every term in the second polynomial.
Frequently asked questions
What is the correct answer to this question?
\(3x+3\)
Why is this the correct answer?
\(p(x)-q(x)=(5x+4)-(2x+1)\). Removing the brackets gives \(5x+4-2x-1\). Combining like terms, \(5x-2x=3x\) and \(4-1=3\), so the result is \(3x+3\). \(3x+5\) results from an incorrect subtraction of the constant terms. Exam tip: when subtracting a polynomial, 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.
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