Vocabulary of polynomials

Coefficient: Number before a variable

Base: The variable after a coefficient

Variable: An unknown number shown by a letter

Term: A number or variable/the sum of a number and variable

Like terms: Two or more terms with the same base

Polynomials: An expression made up of terms that are added or subtracted

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Monomial: 1 term | 6*x*^{2}

Binomial: 2 terms | 3*a*^{2} – 5

Trinomial: 3 terms | –*w*^{2} – 5*w* + 1

Polynomial: 4+ terms | 2*s*^{2} – *t*^{2} + *st* + 7*t* – 4

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Addition

Only like terms can be added

(1x + 2x^{2 }– 3x)+(1x + 3x^{2 }+ 2x)

1x, 3x, 1x and 2x are like terms

1x + 3x +1x + 2x = 7x

2x^{2 }and 3x^{2} are like terms

2x^{2 }+ 3x^{2} = 5x^{2}

= 7x + 5x^{2}

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Subtraction

Only like terms can be subtracted

(4x – 3x^{2})-(1x^{2} + 2x)

= 4x – 2x = 2x

= 3x^{2 }– 1x^{2 }= 2x^{2}

= 2x – 2x^{2}

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Multiplication

Using the distributive property, we multiply the monomial with each term in the polinomial.

(3x)(3x x 2x x 5x)

Multiply each term by the monomial

(9x^{2 }+ 6x^{2 }+ 15x)

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Division

Distributive property still applies

6x ÷ 2x = 3

4x ÷ 2x = 2

3+2

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Reflection