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Transcript
Algebra Algebra is another one of those ‘bad’ math words that most people dislike. However, the fact is that algebra is nothing more than working with unknown numbers. We call these numbers ‘variables’. Here is some more vocabulary to get us on our way in our algebra unit: Expand multiplication of polynomials Factor writing as a product of factors Like terms terms with the same variable part Variable a symbol or letter representing an unknown Numeric coefficient how many of the literal coefficients there are Literal coefficient the variable part of the term FOIL acronym First, Outside, Inside, Last Common factor a factor of more than one term Polynomial Monomial polynomial with one term Binomial polynomial with two terms Trinomial polynomial with three terms Use the glossary at the back of your text to define as many terms as possible from the list above. Try to give an example where appropriate/possible. Polynomials As you have seen in the vocabulary section, polynomials are made up of terms. Each term is separated from another by a ‘+’ or a ‘-.’ We have special names for polynomials with one, two and three terms. After that, we refer to them as polynomials with # terms. Egs. 3x + 2y – 5 + 2a, is a polynomial with four terms 3x + 2y – 5, is a trinomial 3x + 2y, is a binomial 3x, is a monomial Can you name two other polynomials of each kind? Monomials (single terms) are made up of literal and numeric coefficients. The numeric coefficient tells you how many there are of the literal coefficient. The literal coefficient tells you what the term is. Term 3a -4a2x Numeric Coefficient 3 -4 Literal Coefficient a a2 x Can you come up with three other terms and identify their numeric and literal coefficients.
