In this post, x^n means xn<\/sup><\/p>\n \nSometimes, one can factor third degree polynomials of the form<\/p>\n \nax^3 +bx^2 +cx + d<\/p>\n \nwithout using the remainder theorem, synthetic division, etc.<\/p>\n \nOne situation where this is possible is if the first two terms and the second two share a common binomial factor. For instance:<\/p>\n \nx^3 + 3x^2 – 5x – 15<\/p>\n \nIn this case, the first two terms can be common-factored. Next, the third and fourth:<\/p>\n x^2(x+3) – 5(x+3)<\/p>\n \nThe result:<\/p>\n \n(x^2 – 5)(x + 3)<\/p>\n Source:<\/p>\n \nTraverse, Kenneth J. et al. Using Advanced Algebra.<\/em> Toronto: Doubleday Canada Limited, 1977.<\/p>\nJack of Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.\n","protected":false},"excerpt":{"rendered":" Tutoring math, factoring is a typical topic. The tutor mentions a novelty. In this post, x^n means xn Sometimes, one can factor third degree polynomials of the form ax^3 +bx^2 +cx + d without using the remainder theorem, synthetic division, …<\/p>\n