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Tag: factoring

Math: novelty factoring, part 1

By Jack Posted on April 12, 2024 Posted in math Tagged with factoring

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, …

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Math: a difficult factoring problem

By Jack Posted on June 10, 2014 Posted in math Tagged with common factor, factoring, polynomial equations, quadratic equations

Heading towards exams, tutoring returns to factoring and other challenging topics. The math tutor shows how to solve a factoring problem that, at high school level, might be difficult. Suppose you are faced with the following problem: Solve -6×5+46×3+72x=0 This …

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Math: a little more on factoring

By Jack Posted on January 20, 2014 Posted in math Tagged with common factor, easy trinomial, factoring, negative sign

Tutoring high school math, you might be in review mode now.  The math tutor brings up a couple of factoring instances. Instance 1:  Suppose you need to factor -2x^2 + 4x + 70.  How would you proceed? Solution: First, you …

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Math: factoring difference of cubes

By Jack Posted on January 14, 2014 Posted in math Tagged with difference of cubes, factoring

The math tutor continues with factoring cubes.  Tutoring calculus, this formula is another standby. Let’s turn to factoring x^3 – 64. Realizing that 64=4^3, you actually are facing x^3-4^3 You need the formula a^3 – b^3=(a-b)(a^2 + ab + b^2) …

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Math: factoring sum of cubes

By Jack Posted on January 11, 2014 Posted in math Tagged with factoring, sum of cubes

Tutoring high school math, you rarely see this; it comes up often, however, in calculus.  The tutor offers a light treatment. How do you factor x^3 + 125? You need the following formula: a^3 + b^3 = (a + b)(a^2 …

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Math: Factoring Complex Trinomials

By Jack Posted on December 6, 2013 Posted in math Tagged with complex trinomial, factoring

Tutoring math, you visit this topic with your grade 10 & 11 students.  The math tutor shows one method. A complex trinomial is of the form ax2 + bx + c, where a≠0,1.  An example is 2×2 -3x -35. How …

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