match the expression to the type of quadratic and reasoning.
type of quadratic goes in column 2, reasoning goes in column 3. reasoning statements start with "this expression.... " you may need to scroll to see column 3!
x^2+2x+3 -
x^2+11x+10-
14x^2-4x+16-
4x^2-20x+25-
x^2-36-
10x^2+19x+6-
perfect square trinomial, difference of two squares, a> 1grouping, =1, greatest common factor only, this expression cannot be factored as it is, this expression can only have a factor taken out of each term and the remaining trinomial cannot be factored further., this expression contains two perfect squares and has a subtraction sign in the middle., this expression start and ends with a perfect square. if you take the square root of the first and last term and multiply those together and then multiply by 2 you get the middle term.
|x^2+2x+3 | =1 | this expression cannot be factored as it is
|x^2+11x+10 | grouping | this expression contains two perfect squares and has a subtraction sign in the middle
|14x^2-4x+16 | grouped | this expression start and ends with a perfect square. if you take the square root of the first and last term and multiply those together and then multiply by 2 you get the middle term
|4x^2-20x+25 | perfect square trinomial | this expression start and ends with a perfect square. if you take the square root of the first and last term and multiply those together and then multiply by 2 you get the middle term
|x^2-36 | difference of two squares | this expression can only have a factor taken out of each term and the remaining trinomial cannot be factored further
|10x^2+19x+6 | =1 | this expression cannot be factored as it is