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Simplify the expression $\frac{x^2+3x-4}{x^2-2x-8}$

Step-by-step Solution

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Final Answer

$\frac{\left(x-1\right)\left(x+4\right)}{\left(x+2\right)\left(x-4\right)}$
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Step-by-step Solution

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Factor the trinomial $x^2-2x-8$ finding two numbers that multiply to form $-8$ and added form $-2$

$\begin{matrix}\left(2\right)\left(-4\right)=-8\\ \left(2\right)+\left(-4\right)=-2\end{matrix}$

Learn how to solve polynomial long division problems step by step online.

$\begin{matrix}\left(2\right)\left(-4\right)=-8\\ \left(2\right)+\left(-4\right)=-2\end{matrix}$

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Learn how to solve polynomial long division problems step by step online. Simplify the expression (x^2+3x+-4)/(x^2-2x+-8). Factor the trinomial x^2-2x-8 finding two numbers that multiply to form -8 and added form -2. Thus. Factor the trinomial x^2+3x-4 finding two numbers that multiply to form -4 and added form 3. Thus.

Final Answer

$\frac{\left(x-1\right)\left(x+4\right)}{\left(x+2\right)\left(x-4\right)}$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind (x^2+3x)/(x^2+-2x) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Plotting: $\frac{\left(x-1\right)\left(x+4\right)}{\left(x+2\right)\left(x-4\right)}$

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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Polynomial long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.

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