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8th Alg - L7.4--Feb9
1.
Lesson 7.4 WarmUp: Simplify each expression. 1) (5x2y)(3x4) 2)
(xy)3(xz)4 3) (3pr2)5 4) r7n7t2 n3r3t2 5) (2mn2)3 4m6n4 1
2.
Lesson 7.4: *monomial one term *binomial the sum of 2 monomials *trinomial the sum of 3 monomials *polynomial a monomial or the sum of many monomials *the degree of a monomial the sum of the exponents of all of its variables...nonzero constants have a degree of zero, and zero has no degree *the degree of a polynomial the greatest degree of any term in the polynomial
2
3.
*standard form of a polynomial written with the terms in order from greatest degree to least degree *leading coefficient the coefficient of the first term
3
4.
Lesson 7.4 examples: Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial. A) 5xy + 7yz
yes binomial B) 15 yes monomial C) 7x3 9b no... D) 6a3 + 4b + b + 10 yes trinomial 4
5.
Find the degree of each polynomial. E) 3r4
4 F) b + 6 1 G) 8x5y4 2x8 9 H) 12 0 5
6.
Write each polynomial in standard form. Identify the leading coefficient. I)
3x + 1 + 2x2 2x2 + 3x + 1 ; 2 J) 25 x3 + x x3 + x + 25 ; 1 K) 6x3 7x5 + x 2x2 + 1 7x5 + 6x3 2x2 + x + 1 ; 7 6
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