Bellwork Simplify the following by combining like terms.

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Presentation transcript:

Bellwork Simplify the following by combining like terms. 2xyz + 4x + 5y + 2x – 3z – 2y – xyz 3x2 + 4x3 – 2x + x3 – x2 + 2x

Unit 2 Algebra Investigations Lesson 1: Exploring Algebraic Expressions and Equivalent Expressions Notes 2.1: Add and Subtract Polynomials

Vocabulary Monomial A number, variable, or the product of a number and one or more variables. Polynomial A monomial or the sum of monomials. Binomial A polynomial with 2 terms. Trinomial A polynomial with 3 terms.

Vocabulary Degree The greatest exponent in a polynomial. Standard Form When a polynomial is written from largest exponent to smallest exponent. Leading coefficient The coefficient of the first term of a polynomial in standard form.

(Ex 1) Rewrite a polynomial Write 7 + 2x4 – 4x so that the exponents decrease from left to right. Identify the degree and the leading coefficient of the polynomial.

Checkpoint: Write the polynomial so that the exponents decrease Checkpoint: Write the polynomial so that the exponents decrease. Identify the degree and the leading coefficient. 5x + 13 + 8x3 4y4 – 7y5 + 2y -5m2 + 1 – 9m 2r3 + 4r4 + r – 5r2

(Ex 2) Add polynomials Find the sum: (4x3 + x2 – 5) + (7x + x3 – 3x2)

Checkpoint: Find the sum. (3x4 – 2x2 – 1) + (5x3 – x2 + 9x4) (4x2 – 15 + 6x3) + (8x + 24 + x2)

(Ex 3) Subtract polynomials Find the difference: (3x2 + 6x – 4) – (x2 – x – 7) (4z2 – 3) – (-2z2 + 5z – 1)

Checkpoint: Find the difference. (3t2 – 5t + t4) – (11t4 – 3t2) (4p3 + 3p – 6) – (-2p3 – p2 + 3)