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Chapter 0: Problem 1

The algebraic expression a polynomial? If it is, write the polynomial in standard form. $$2 x+3 x^{2}-5$$

Short Answer

Expert verified
Yes, the algebraic expression \(2x + 3x^{2} - 5\) is a polynomial, and its standard form is \(3x^{2} + 2x - 5\).

Step by step solution

01

Identify if it's a Polynomial

Check if the algebraic expression \(2x + 3x^{2} - 5\) is a polynomial. It is a polynomial because all variables \(x\) have non-negative integer exponents and the operations involved are only addition, subtraction and multiplication.
02

Write the Polynomial in Standard Form

Rewrite the polynomial in standard form. This requires reordering the terms in decreasing order by degree. As such, the given polynomial \(2x + 3x^{2} - 5\) becomes \(3x^{2} + 2x - 5\) when written in standard form.

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Most popular questions from this chapter

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In Exercises \(1-10\), factor out the greatest common factor. $$3 x^{2}+6 x$$
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