# Math on the Mind: Polynomials

## Presentation on theme: "Math on the Mind: Polynomials"— Presentation transcript:

Math on the Mind: Polynomials
Write each expression in standard form. Then name each polynomial by its degree and number of terms. 1. –4 + 3x – 2x2 2. 2b2 – 4b3 + 6 –2x2 + 3x – 4; quadratic trinomial –4b3 + 2b2 + 6; cubic trinomial

Adding Polynomials Unit 8, Lesson 2

Adding Polynomials with Virtual Algebra Tiles
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Add the polynomials. + x2 + 3x + 7y + xy + 8 x2 + 4y + 2x + 3
1 1 Y 1 1 1 Y 1 1 1 Y x2 + 3x + 7y + xy + 8 x2 + 4y + 2x + 3 3x + 7y + 8 x2 + 11xy + 8 teachers.henrico.k12.va.us/math/hcpsalgebra1/.../7.../AddPolynomials.pp...

Adding Polynomials Simplify (6x2 + 3x + 7) + (2x2 – 6x – 4).
Method 1: Add vertically. Line up like terms. Then add the coefficients. 6x2 + 3x + 7 2x2 – 6x – 4 8x2 – 3x + 3

Adding Polynomials Simplify (6x2 + 3x + 7) + (2x2 – 6x – 4).
Method 2: Add horizontally. Group like terms. Then add the coefficients. (6x2 + 3x + 7) + (2x2 – 6x – 4) = (6x2 + 2x2) + (3x – 6x) + (7 – 4) = 8x2 – 3x + 3

Add 2x3 – 5x2 + 3x – 9 and x3 + 6x2 + 11. SOLUTION 2x3 – 5x2 + 3x – 9
edweb.tusd.k12.az.us/tbushnell/Int%20Alg/6.3%20a.ppt

EXAMPLE 2 Add 3y3 – 2y2 – 7y and –4y2 + 2y – 5. (3y3 – 2y2 – 7y) + (–4y2 + 2y – 5) = 3y3 – 2y2 – 4y2 – 7y + 2y – 5 = 3y3 – 6y2 – 5y – 5 edweb.tusd.k12.az.us/tbushnell/Int%20Alg/6.3%20a.ppt

Add the following polynomials: (9y - 7x + 15a) + (-3y + 8x - 8a)
Group your like terms. 9y - 3y - 7x + 8x + 15a - 8a 6y + x + 7a teachers.henrico.k12.va.us/math/hcpsalgebra1/.../7.../AddPolynomials.pp...

Add the following polynomials: (3a2 + 3ab - b2) + (4ab + 6b2)
Combine your like terms. 3a2 + 3ab + 4ab - b2 + 6b2 3a2 + 7ab + 5b2 teachers.henrico.k12.va.us/math/hcpsalgebra1/.../7.../AddPolynomials.pp...

_________________________ x2 - 3xy + 5y2
Add the following polynomials using column form: (4x2 - 2xy + 3y2) + (-3x2 - xy + 2y2) Line up your like terms. 4x2 - 2xy + 3y2 + -3x2 - xy + 2y2 _________________________ x2 - 3xy + 5y2 teachers.henrico.k12.va.us/math/hcpsalgebra1/.../7.../AddPolynomials.pp...

Find the sum or difference. (5a – 3b) + (2a + 6b)