unit 1 math: introduction to quadratic equation, solving quadratic equations by factoring and completing the square

quadratic equation

second degree polynomial equation written in the standard form 「ax²+bx+c=0」

ax²+bx+c=0

"formula" for the quadratic equation

perfect square

number obtained by multiplying an integer by itself

solution

number that satisfies the equation and is the root of the equation

factors

two or more expressions that produce the given express when multiplied

perfect square trinomial

polynomial with three terms, first and last are perfect squares while the middle term is +/- twice the sum of the square roots of the first and last terms

zero product property

given real numbers a and b, if ab=0 then either a or b =0

completing the square

method for solving quadratic equations by changing an incomplete quadratic trinomial into a perfect square trinomial