If (p(x)=10+3x) and (q(x)=4x-2), when will (p(x)) and (q(x)) be equal?

Correct answer: \(x=12\)

For equality, set \(p(x)=q(x)\): \(10+3x=4x-2\). Subtracting \(3x\) from both sides gives \(10=x-2\), so \(x=12\). On checking, \(p(12)=46\) and \(q(12)=46\). For example, at \(x=10\), their values are 40 and 38, so it is not correct. Exam tip: To find when two polynomials are equal, equate their expressions first and solve for \(x\).