If \(p(x)=2x^2+3x-4\), what is \(p(2x)\)?
Answer and explanation
Correct answer: \(8x^2+6x-4\)
To find \(p(2x)\), replace every \(x\) in the polynomial with \(2x\): \(p(2x)=2(2x)^2+3(2x)-4=8x^2+6x-4\). Hence, option A is correct. In option B, the term \(2(2x)^2\) has been incorrectly simplified as \(4x^2\). Exam tip: when substituting an expression for a variable, apply the power to the entire substituted expression.
Frequently asked questions
What is the correct answer to this question?
\(8x^2+6x-4\)
Why is this the correct answer?
To find \(p(2x)\), replace every \(x\) in the polynomial with \(2x\): \(p(2x)=2(2x)^2+3(2x)-4=8x^2+6x-4\). Hence, option A is correct. In option B, the term \(2(2x)^2\) has been incorrectly simplified as \(4x^2\). Exam tip: when substituting an expression for a variable, apply the power to the entire substituted expression.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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