CFU 3102.3.5 Add, subtract, and multiply polynomials including squaring a binomial. SPI 3102.3.2 Operate with polynomials and simplify results.

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CFU Add, subtract, and multiply polynomials including squaring a binomial. SPI Operate with polynomials and simplify results.

Mono = One Bi = Two Tri = Three Poly = More than One Monomial Binomial Trinomial Polynomial Monomial cannot be divided by a variable therefore, must have non-negative integers

2x – 3yz 8 4a 2 + 5a + a d + 19e 2 5d 4 26b 2 Binomial Monomial Polynomial Neither, because being divided by variable Monomial

Degree of a monomial is the sum of exponents of all the variables Degree of a polynomial is the greatest degree of any term. 8y 4 -2xy 2 z 3 3a 7 5mn 2 +m -4x 2 y 2 + 3x a + 7ab -2a 2 b b + 6bc +8bc (remember there is one exponent for the x) Binomial degree Polyomial degree Trinomial degree Polyomial degree 3 01

Arrange the terms so the powers of one variable are in Ascending Order of x 7x 2 + 2x 4 – 11 2xy 3 + y 2 +5x 3 – 3x 2 y Arrange the terms so the powers of one variable are in Descending Order of x 6x – 8x -2x 3 3a 3 x 2 –a 4 + 4ax 5 + 9a 2 x Make sure and simplify before writing in order – x 2 + 2x 4 y 2 +2xy 3 – 3x 2 y +5x 3 -2x 3 + 6x 2 – 8x+ 54ax 5 + 3a 3 x 2 + 9a 2 x –a 4 Smallest exponent to largest Largest exponent to smallest