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Given f(x)= 3x-x and g(x)=5x+2 Evaluate a) f(2) b) g(3-x) c) f(4)+g(8) d) f(3) * g(1) e) g(y+2)

Warm Up. Given f(x)= 3x-x and g(x)=5x+2 Evaluate a) f(2) b) g(3-x) c) f(4)+g(8) d) f(3) * g(1) e) g(y+2). Use the graph to find the following:. f) f(1) g) f(-2) + f(1) h) f(X) = 0. f(1) = -8 f(-2) + f(1) = 2 f(x) = 0, x = -3, 0, 3. 10.1 adding & subtracting Polynomials.

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Given f(x)= 3x-x and g(x)=5x+2 Evaluate a) f(2) b) g(3-x) c) f(4)+g(8) d) f(3) * g(1) e) g(y+2)

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  1. Warm Up Given f(x)= 3x-x and g(x)=5x+2 Evaluate a) f(2) b) g(3-x) c) f(4)+g(8) d) f(3) * g(1) e) g(y+2) Use the graph to find the following: f) f(1) g) f(-2) + f(1) h) f(X) = 0 f(1) = -8 f(-2) + f(1) = 2 f(x) = 0, x = -3, 0, 3

  2. 10.1adding & subtractingPolynomials

  3. Monomial: A number or a product of numbers and variables with whole number exponents. One term. Examples: Polynomial: A sum or difference of monomials. Examples:

  4. The Degree of a Polynomial • The degree of a polynomial with only one variable is the largest exponent of that variable. 12x2 - 7 + 4x3 + x7 • The Degree is 7 (the largest exponent of x)

  5. Degree of a Polynomial

  6. Standard Form • The Standard Form for writing a polynomial is to put the terms with the highest degree first. (highest exponent to lowest exponent) Example: Put this in Standard Form: • 3x2 - 7 + 4x3 + x6 • The highest degree is 6, so that goes first, then 3, 2 and then the constant last: • x6 + 4x3 + 3x2 - 7

  7. Are these polynomials in standard form?

  8. Like Terms Like terms are terms that contain the same variables, with corresponding variables having the same power. Example : 3x2+4x+x2-2 The like terms in this expression are:

  9. Group the like terms 1. 7x2+8x-2y+8-6x 2. 3x-2y+4x2-y 3. 6y+y2-3+2y2-4y3

  10. “Like Terms”, I Add ThemAdding Polynomials

  11. Adding: • Line up with like terms • Add like terms • Write in standard form (descending order)

  12. (2x2+3x-4) + (4x2+4x+8) • Line up with like terms • Add like terms • Write in standard form (descending order)

  13. 1. • 2.

  14. Subtraction: • Distribute the negative Sign • Add like terms • Write in standard form

  15. Example: 2 • (y2-8y+10) - (3y2+8y+10) • Distribute the negative Sign • Add like terms • Write in standard form

  16. 1. (3x2+3x+3) - (4x2-2x+1) • 2. (3a3+7a-1) - (3a2+3a-4)

  17. Summary: • On a scale of 1-10 how do you feel about this lesson? • 1 being super easy I could do this in my sleep. • 10 being I’m not going to lie, I fell asleep and have NO clue what is going on!!!!!!! • Homework: Work sheet 10.1

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