Plug in the values of+ and – to solve for – : Now plug 2 in for – : The correct answer is Choice (C). Start by factoring – : Now plug in the values that the question gives you:
You can go with (x 3 + x2 ) + (–x – 1). Put the plus sign between the sets, just like when you factor trinomials. ; The square x 2 is the GCF of the first set, and –1 is the GCF of the second set. Factoring out both of them, you get x2(x + 1) – 1(x + 1). ; However, x 2 – 1 is a difference of squares and factors again as (x+1)(x-1). This gives you a final factorization of: (x + 1)(x + 1)(x – 1), or (x + 1)2 (x – 1).
You often need to factor expressions (break those expressions into their simpler components, or factors ) for calculus. Factoring means “unmultiplying,” like re
A useful method for solving algebraic equations that contain negative exponents is to factor out a negative greatest common factor, or GCF. For example, consider the equation 3x –3 – 5x –2 = 0. This equation has a solution that you can find without switching to fractions right away. In general, equations that have no constant terms — all the terms have variables with exponents on them — work best with this technique. Here are the steps:
Make sure you apply divisibility rules correctly. ; Write a prime factorization with the correct exponents on the prime factors. ; Check that the terms divided after dividing out a greatest common factor (GCF) don't still have a common factor.
One way to solve an equation in this form is through factoring. Follow these steps to solve... This doesn't mean there's no solution for the quadratic equation. It means that there may not...
If you can factor the trinomial and use the multiplication property of zero to solve for the roots, you're home free. The multiplication property of zero states that if the product of · then at least one of the factors has to represent the number 0. Here's an example: How many solutions can you find for the trinomial x 2 – 2x – 15 = 0? · You start by factoring the left side of the equation into (x – 5) ...
As you'll see in the following practice questions, though, you can use some simple techniques—like factoring and combining like terms—to solve them.Which of the following is the...
You earn that small amount of interest for allowing the bank to keep your money. The bank... Here's how you calculate your total return: Or, to apply it to the example Factoring in...
For a polynomial, no matter how many terms it has, always check for a greatest common factor (GCF) first. Literally, the greatest common factor is the biggest expression that will go into all of the terms. Using the GCF is like doing the distributive property backward. If the equation is a trinomial — it has three terms — you can use the FOIL method for multiplying binomials backward. If it’s a binomial, look for difference of squares, difference of cubes, or sum of cubes.