Scelta multipla
In the context of polynomials in , is a polynomial?
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0. Review of Algebra
Polynomials Intro
Scelta multipla
Which of the following expressions is NOT a polynomial in ?
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B
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D
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Recall that a polynomial in \( x \) is an expression consisting of terms with non-negative integer exponents of \( x \), combined using addition, subtraction, and multiplication by constants.
Examine each expression to identify the exponents of \( x \):
1. \( 9 - x \) has \( x \) to the power of 1, which is a non-negative integer, so it is a polynomial.
2. \( 4x^{\frac{1}{2}} + 6 \) has \( x \) raised to the power of \( \frac{1}{2} \), which is not an integer, so this is NOT a polynomial.
3. \( x^{3} + 2x - 7 \) and \( 3x^{2} - 5x + 1 \) both have integer exponents (3, 1, 2, 1, 0), so they are polynomials.
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