Algebra 1 Unit 6-7

Linear term

ax or -ax in a standard form equation y=bx²+ax+c

Quadratic term

bx² or -bx² in a standard form equation y=bx²+ax+c

Standard form

y=bx²+ax+c

Factored form

y=(x-a)(x+b)+c

Vertex form

y=a(x-b)+c

Constant term

c or -c in the equation y=bx²+ax+c

Whats the quadratic formula?

-b±√(b²-4ac) / 2a Remember to add or subtract -b before dividing by 2a for the final result.

Whats Po-Shen Loh’s method?

(-b/2a+u)(-b/2a-u)=c/a Solve for u, then substitute u into the 2 parentheses. Those answers are the roots.

What 3 methods can you use to turn a standard form quadratic to factored form

Common factor, special products (perfect trinomial square and a difference of 2 squares) split the middle term (reverse box method)

How do you change a standard form quadratic into vertex form?

Complete the square-only applicable to perfect trinomial squares: isolate the divide the linear coefficient by 2 and square it, then add that in the parentheses (subtract it from the constant term) then use the perfect trinomial way to change to factored form, then add a squared to get rid of the second parentheses

When an equation has a quadratic linear and quadratic term with 2 squares, it’s called

Perfect trinomial square

When an equation has 2 terms, quadratic and constant term it’s called a

Difference of 2 squares