“The Walk Through Factorer”. Ms. Trout’s 8 th Grade Algebra 1 Resources: Smith, S. A., Charles, R. I., Dossey, J.A., et al. Algebra 1 California Edition. New Jersey: Prentice- Hall Inc., 2001. Directions:.
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8th Grade Algebra 1
Smith, S. A., Charles, R. I., Dossey, J.A., et al. Algebra
1 California Edition. New Jersey: Prentice- Hall Inc., 2001.
example click on the question mark
(6x³ -9x²) +(4x – 6)
3x²(2x-3) + 2(2x-3)
in your parenthesis.
write what you have left
3x² + 12 x + 9
Hint: (All the terms have a common factor of 3)
3 (x² +4x +3)
A² +2AB+B² = (A+B)²
x²+ 6x +9 = (x+3)²
Mult. First and last terms
North and South
North and add to the South and
write those two numbers in the East
Write the middle term
(the number in front of x²)
number if you can and if it is still a fraction bring the bottom number up in front of the x
(a²-b²) = (a+b) (a-b)
(x² -4) = (x +2) (x-2)
You have completely factored your polynomial! Good Job!
Click on the home button to start the next problem!
Keep continuing to factor the “Difference of Two Squares” until you do not have any more “Difference of Two Squares”. Then you have factored the problem completely and can return home and start your next problem.