Watch Video on Factoring by Grouping – Algebra Help
Friday, March 5th, 2010
Access full lesson containing this video at: http://www.yourteacher.com/algebra2/factoringbygrouping.php Students learn to factor a polynomial that has four terms by grouping the first two terms together and the last two terms together, then factoring out the Greatest Common Factor from each group. For example, to factor ax — ay + cx — cy, the first step is to factor out an “a” from the first two terms, and factor out a “c” from the last two terms, to get a(x — y) + c(x — y). The problem can now be thought of as two terms, each with a Greatest Common Factor of (x — y), so an (x — y) can be factored out, to get (x — y)(a + c).
Duration : 0:2:1
Access full lesson containing this video at: http://www.yourteacher.com/algebra1/factoringpolynomials.php Students learn that a trinomial in the form x^2 + bx + c (where c is positive), such as x^2 + 7x + 10, can be factored as the product of two binomials, in this case (x + 5)(x + 2). The first term in each binomial comes from the factors of x^2, x and x. The second term in each binomial comes from the factors of the constant term, +10, that add to the coefficient of the middle term, +7, which in this case are +5 and +2.
Access full lesson containing this video at: http://www.yourteacher.com/algebra1/factorpolynomials.php Students learn that a trinomial in the form x^2 + bx + c (where c is negative), such as x^2 + 6x — 27, can be factored as the product of two binomials, in this case (x + 9)(x — 3). The first term in each binomial comes from the factors of x^2, x and x. The second term in each binomial comes from the factors of the constant term, –27, that add to the coefficient of the middle term, +6, which in this case are +9 and –3.