Divide $x^2-7x+6$ by $x-4$

Step-by-step Solution

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Final answer to the problem

$\frac{\left(x-1\right)\left(x-6\right)}{x-4}$
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Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Write in simplest form
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
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1

Factor the trinomial $x^2-7x+6$ finding two numbers that multiply to form $6$ and added form $-7$

$\begin{matrix}\left(-1\right)\left(-6\right)=6\\ \left(-1\right)+\left(-6\right)=-7\end{matrix}$
2

Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values

$\frac{\left(x-1\right)\left(x-6\right)}{x-4}$

Final answer to the problem

$\frac{\left(x-1\right)\left(x-6\right)}{x-4}$

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Function Plot

Plotting: $\frac{\left(x-1\right)\left(x-6\right)}{x-4}$

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1
2
3
4
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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