In this unit, you will be introduced to polynomials and how to graph them! Here is a quick review of polynomials Shape of polynomial graphs End behaviour of polynomial functions Degree and leading coefficient of polynomial functions Zeros of a polynomial function Multiplicity of a polynomial Overview of everything introduced in this section If you…
Tag: Polynomials
2.1: Polynomials
Polynomial: An expression that contains variables and coefficients ex. 5xy2 – 3x + 5y3 – 3 Term: A term consists of a variable and a coefficient ex. 5x Monomial: A polynomial containing only ‘1’ term ex. 5xy2 Binomial: A polynomial containing ‘2’ terms ex. 5xy2 – 3x Trinomial: A polynomial containing ‘3’ terms ex. 5xy2 – 3x + 5y3 …
2.6 Special Factors
Remember: Difference of Squares: a2 – b2 = (a + b)(a – b) Factoring Perfect Square Trinomials: a2 + 2ab + b2 = (a + b)2 a2 – 2ab + b2 = (a – b)2 General Factoring for Special Factors Factoring Perfect Square Trinomials
2.5 Factoring ax^2 + bx + c
Tip: use the FOIL method and the ac- method to help solve these problems! General Factoring for ax2 + bx + c If you have any questions, leave them in the comment box below!
2.4 Factoring x^2 + bx + c
When factoring, look for two factors of c that multiply to the last term and add to the coefficient of the middle term Finding the Unknown Value of a Trinomial General Factoring for x2 + bx + c Got questions? Leave them down below!
2.3 Removing Common Factors
Remember: factoring is the opposite of multiplying! Finding the Greatest Common Factor of Terms General Factoring Shaded Area Problems If you have any questions, leave them down below!
2.2 Multiplying Polynomials
General Rules: (a + b)2 = a2 + 2ab + b2 (a – b)2 = a2 – 2ab + b2 (a – b)(a + b) = a2 – b2 Multiplying using FOIL Calculating the area of a shape Other multiplication problems Have any questions? Leave them in the comments below!