If
$c$ is positive, then the factors of
$c$ must be either both positive or both negative. The factors are both negative if
$b$ is negative, and are both positive if
$b$ is positive. If
$c$ is negative, it means only one of the factors of
$c$ is negative, the other one being positive.
Once you get an answer, multiply out your brackets again just to make sure it really works.
Find the factors for the following trinomial expressions:
$2{x}^{2}+11x+5$
$3{x}^{2}+19x+6$
$6{x}^{2}+7x+2$
$12{x}^{2}+8x+1$
$8{x}^{2}+6x+1$
Find the factors for the following trinomials:
$3{x}^{2}+17x-6$
$7{x}^{2}-6x-1$
$8{x}^{2}-6x+1$
$2{x}^{2}-5x-3$
Factorisation by grouping
One other method of factorisation involves the use of common factors. We know that the factors of
$3x+3$ are 3 and
$(x+1)$ . Similarly, the factors of
$2{x}^{2}+2x$ are
$2x$ and
$(x+1)$ . Therefore, if we have an expression:
$$2{x}^{2}+2x+3x+3$$
then we can factorise as:
$$2x(x+1)+3(x+1).$$
You can see that there is another common factor:
$x+1$ . Therefore, we can now write:
$$(x+1)(2x+3).$$
We get this by taking out the
$x+1$ and seeing what is left over. We have a
$+2x$ from the first term and a
$+3$ from the second term. This is called
factorisation by grouping .
Find the factors of
$7x+14y+bx+2by$ by grouping
There are no factors that are common to all terms.
7 is a common factor of the first two terms and
$b$ is a common factor of the second two terms.
$$7x+14y+bx+2by=7(x+2y)+b(x+2y)$$
$x+2y$ is a common factor.
$$7(x+2y)+b(x+2y)=(x+2y)(7+b)$$
The factors of
$7x+14y+bx+2by$ are
$(7+b)$ and
$(x+2y)$ .
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest.
Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.?
How this robot is carried to required site of body cell.?
what will be the carrier material and how can be detected that correct delivery of drug is done
Rafiq
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
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