Download presentation

Presentation is loading. Please wait.

1
Exponents 1 1 1 1

2
Ex. (-2a2b3)(-4ab2) Ex. (3ab2)4 Ex. (-2a2b)3(-3ab2)2

3
Ex. x2nx2n Ex.

4
Ex. (2x-3y3)2 Ex.

5
**Polynomials A monomial is a number, variable, or a product of these x**

4x2y The degree of a monomial is the sum of the powers of the variables 5 5 5 5

6
5x3 5 is the coefficient x is the base 3 is the exponent or power

7
**The degree of a polynomial is the greatest of the degrees of the terms**

A polynomial is an expression made up of the sum of monomials, called terms 3x2 monomial 4x2y binomial x4 – 5x + 6 trinomial The degree of a polynomial is the greatest of the degrees of the terms 7 7 7 7

8
P(x) = 7x4 – 3x2 + 2x – 4 This is a polynomial function 7, -3, 2, and -4 are called coefficients Note that the terms are in descending order with respect to powers 7 is called the lead coefficient because it is the coefficient for the largest power of x -4 is called the constant term because it is not multiplied by the variable

9
Coefficients can be any real number, but powers of a polynomial must be whole numbers (no negatives or fractions)

10
**Ex. If P(x) = -5x3 + x2 + 3x – 2, find:**

a) P(-1) b) P(2) c) The degree of P(x) d) The lead coefficient of P(x)

11
**When adding and subtracting polynomials, combine like terms (same variables to the same powers)**

Ex. (4x2 + 3x – 5) + (x2 – 7x + 10) Ex. (5x2 – x + 6) – (-2x2 + 3x – 11)

12
Ex. (3a3 – b + 2a – 5) + (a + b + 5) Ex. (12z5 – 12 z3 + z) – (-3z4 + z3 + 12z)

13
**Multiplying Polynomials**

Ex. -5y2(3y – 4y2) Ex. 3a + 2a(3 – a) Ex. 2a2b(4a2 – 3ab + 2b2) 13 13 13 13

14
**When multiplying bigger polynomials, be sure each term is paired up **

Ex. (x + 2)(x2 – 3x – 6) 14 14 14 14

15
**Multiplying a binomial by a binomial can be organized by remembering FOIL**

(3x – 2)(2x + 5) First Outer Inner Last 6x2 15x -4x -10 6x2 + 11x – 10 15 15 15 15

16
**Ex. (6x – 5)(3x – 4) Ex. (2x2 – 3)(x2 – 2) Ex. (3x – 2y)(2x + y) 16 16**

17
**Sum and Difference of Two Terms:**

(a + b)(a – b) = Ex. (2x – 1)(2x + 1)

18
Square of a Binomial: (a + b)2 = Ex. (5x – 3y)2

Similar presentations

Presentation is loading. Please wait....

OK

Understanding Polynomials

Understanding Polynomials

© 2018 SlidePlayer.com Inc.

All rights reserved.

By using this website, you agree with our use of **cookies** to functioning of the site. More info in our Privacy Policy and Google Privacy & Terms.

Ads by Google

Ppt on improvement in food resources science Ppt on morphology of flowering plants for class 11 Free ppt on brain-machine interface technology texting by thinking Ppt on if clauses in english grammar Best ppt on slums in india Ppt on conservation of momentum equation Ppt on classical economics school Ppt on arithmetic progression for class 11 Ppt on the elements of the short story Ppt on product advertising templates