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A few examples..
** First, taking out a common factor:
1:
x3 + 3x
x(x2 + 3) -This is factored because you have taken an "x" away from both terms... to put it back into its original form just multiply the "x" by x2 and 3.
2:
6x2 + 16x + 8
2(3x2 + 8x + 4) -All of the numbers were divisible by 2 so you can take 2 out of all of the terms.
** Factoring a Difference of Squares:
x2 - 16 = (x)2 - 42 = (x - 4)(x + 4).
** An 'easy' trinomial (the coefficient of x is 1):
x2 + 5x + 6 = (x + 3)(x + 2). -Notice that 2+3=5 and (2)(3) =6.
** A 'hard' trinomial (the coefficient of x2 is not 1):
8x2 - 2x - 21 = (2x + 3)(4x - 7). -There are several ways of organizing a trial and error process to factor a case like this.
** Factoring by grouping (Check for this when there are 4 terms.)
6x3 - 2x2 + 15x - 5 = 2x2(3x - 1) + 5(3x - 1) = (2x2 + 5)(3x - 1).
Wiki User
∙ 11y ago
Wiki User
∙ 11y agoA few examples..
** First, taking out a common factor:
1:
x3 + 3x
x(x2 + 3) -This is factored because you have taken an "x" away from both terms... to put it back into its original form just multiply the "x" by x2 and 3.
2:
6x2 + 16x + 8
2(3x2 + 8x + 4) -All of the numbers were divisible by 2 so you can take 2 out of all of the terms.
** Factoring a Difference of Squares:
x2 - 16 = (x)2 - 42 = (x - 4)(x + 4).
** An 'easy' trinomial (the coefficient of x is 1):
x2 + 5x + 6 = (x + 3)(x + 2). -Notice that 2+3=5 and (2)(3) =6.
** A 'hard' trinomial (the coefficient of x2 is not 1):
8x2 - 2x - 21 = (2x + 3)(4x - 7). -There are several ways of organizing a trial and error process to factor a case like this.
** Factoring by grouping (Check for this when there are 4 terms.)
6x3 - 2x2 + 15x - 5 = 2x2(3x - 1) + 5(3x - 1) = (2x2 + 5)(3x - 1).
These are the basic types of factoring in Algebra I. In more advanced courses, there are methods for factoring more complicated polynomials.
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X - 2 is a factor of which polynomial?
We won't be able to answer this accurately without knowing the polynomials.
Polynomials have factors that are?
Other polynomials of the same, or lower, order.
What are polynomials that have factors called?
Reducible polynomials.
When polynomial is a quadratic polynomial?
Whenever there are polynomials of the form aX2+bX+c=0 then this type of equation is know as a quadratic equation. to solve these we usually break b into two parts such that there product is equal to a*c and I hope you know how to factor polynomials.
Trinomial are polynomials?
Yes.
what is the factor of polynomials 6x+3?
9
Do YOU care about how to factor a polynomial?
Do you care weather a random stranger on their computer cares how to factor polynomials. P.S. i do in fact care how to factor polynomials, but i'm most likely in the minority on this one.
What is a polynomial that does not factor over the real numbers referred to as?
There is no specific term for such polynomials. They may be referred to as are polynomials with only purely complex roots.
What is the factor of polynomials 6x-4?
10
Which polynomial has 3x 4 as a factor?
We can't answer that without some polynomials to choose from.
Factor the following polynomials 2a2 - 5a plus 3?
(2a-3)(a-1)
X - 2 is a factor of which polynomial?
We won't be able to answer this accurately without knowing the polynomials.
What is the greatest common factor of 6m3 and 50m4?
Assuming additive terms, polynomials.6m3 + 50m42m3(3 + 25m)2m3=========common factor
The tiles method should not be used to factor linear and quadratic polynomials involving negative numbers?
true
Completely factor the polynomials for x3 plus 8x2 plus 15x?
x(x+3)(x+5)
How can you factor these polynomials completely 24b plus 12b2 plus 12?
12(b + 1)(b + 1)
Polynomials have factors that are?
Other polynomials of the same, or lower, order.
