Unit 1: Quadratics Final Exam Review

Topics to cover Multiplying Polynomials GCF Factoring Solving Quadratic Equations

Multiplying Polynomials When multiplying polynomials, use the DISTRIBUTIVE PROPERTY Multiply every term in the FIRST polynomial to every term in the SECOND polynomial. Example (4x + 3)(2x – 9)  4x(2x) + 4x(-9) + 3(2x) + 3(-9) = 8x2 – 30x – 27

Multiplying polynomials Try this one now: Multiply: (2x – 1)(3x2 – 2x + 1)

GCF GCF stands for GREATEST COMMON FACTOR When finding the GCF of terms, follow these steps: Find the LARGEST number that the 2 terms have in common and take it out Find the largest amount of VARIABLES that the 2 terms have in common and take it out To write what is left over, start with the NUMBERS, and then finish with the VARIABLES

GCF Watch this Video for an example

GCF Try this one now: Factor out the GCF of 12x3y2 – 16x4y

FACTORING Factoring helps you to find where a function crosses the X AXIS Steps to follow when factoring – USE THE X BOX Draw an X For the number on the top of the X, MULTIPLY the FIRST number by the LAST number For the number on the bottom of the X, write the MIDDLE number Figure out which 2 numbers will MULTIPLY to get the top number on the X and ADD to get the bottom number on the X DRAW A BOX by placing the first term in the TOP LEFT , the last term in the BOTTOM RIGHT and the 2 numbers in the X in the MIDDLE 2 BOXES Then take out the GCF from all boxes. Use your GCF and what was left over to write your equation in factored form

FACTORING Try this one now: Factor 4x2 – 9x + 2

SOLVING QUADRATIC EQUATIONS Solving Quadratic Equations allows you to solve for x. Steps to follow when solving quadratic equations: Make sure the equation is equal to 0. If not, move everything over to the left side so that the equation does equal 0. Factor Set each factor equal to 0 and then SOLVE for x Most of the time, there will be 2 answers.

Solving quadratic equations Try this one now: Solve for X: 2x2 + 7x + 6 = 0

ALL DONE!