Consider each given algebraic statement

Question

Consider each given algebraic statement. i) Classify each as an equation or an expression. ii) For each expression classify it as polynomial, monomial, binomial, trinomial, and/or none of these. iii) Also, for each polynomial: list each term, the degree of each term, and the coefficient of each term.

1.) 4x^8 - y^3 + 33/14 * z (33/14 is set up as a fraction)

2.) 4C/99u + V

3.)6a + 5b =110

4.) -512mnp

Answer 1

An equation has an equal sign; an expression does not.

Terms are separated by plus or minus signs. A polynomial has more than one term. Hopefully you know the difference between a BIcycle and a TRIcycle.

The degree is what power the variable (the letter) is raised to.

The coefficient is the number before the letter.

2x³ - 7x² + 14x - 654/75 is a polynomial expression.The second term is -7x², which has a coefficient of -7 and a degree of 2.

Go.