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Below is a few practice problems of various difficulty, but you will need considerably more practice than one each. For that reason
you should definitely use the green “Try Another” button in the top right corner at least two or three times to complete
additional versions of these questions for more practice. You should keep using that button until doing these problems feels straight
forward and easy, and then come back after a week or so of doing other stuff and try again to make sure it is still just as easy for
you.
Theoretically Easier Difficulty Problem
Remember that you want to multiply the leading coefficient (in this case ) and the constant (in this case ) together to get .
Use this to try and factor the polynomial!
Recall that the AC-method involves factoring the number you got from the above process ( ) so that you get two numbers that
add to the middle number (in this case ) but multiply to the value you got from multiplying the leading coefficient and the
constant.
Once you have the two numbers, split the middle term ( ) into those two numbers, so that your function now has four terms,
then factor by grouping.
One of the two numbers for the previous hint is . See if you can figure out the other and get the correct factoring!
Factor the following quadratic using the AC-Method.
Theoretically Medium Difficulty Problem
Remember that you want to multiply the leading coefficient (in this case ) and the constant (in this case ) together to get .
Use this to try and factor the polynomial!
Recall that the AC-method involves factoring the number you got from the above process ( ) so that you get two numbers that
add to the middle number (in this case ) but multiply to the value you got from multiplying the leading coefficient and the
constant.
Once you have the two numbers, split the middle term ( ) into those two numbers, so that your function now has four terms,
then factor by grouping.
One of the two numbers for the previous hint is . See if you can figure out the other and get the correct factoring!
Factor the following quadratic using the AC-Method
Theoretically Harder Difficulty Problem
Remember that you want to multiply the leading coefficient (in this case ) and the constant (in this case ) together to get .
Use this to try and factor the polynomial!
Recall that the AC-method involves factoring the number you got from the above process ( ) so that you get two numbers that
add to the middle number (in this case ) but multiply to the value you got from multiplying the leading coefficient and the
constant.
Once you have the two numbers, split the middle term ( ) into those two numbers, so that your function now has four terms,
then factor by grouping.
One of the two numbers for the previous hint is . See if you can figure out the other and get the correct factoring!
Factor the following quadratic using the AC-Method
