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Factor the expression $\frac{12x^3+x^2+1\cdot -5x+3}{x-2}$

Step-by-step Solution

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Final Answer

$12x^{2}+25x+45+\frac{93}{x-2}$
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Step-by-step Solution

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Multiply $1$ times $-5$

$\frac{12x^3+x^2-5x+3}{x-2}$

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$\frac{12x^3+x^2-5x+3}{x-2}$

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Learn how to solve factor problems step by step online. Factor the expression (12x^3+x^21*-5x+3)/(x-2). Multiply 1 times -5. Let's divide the polynomial by x-2 using synthetic division (also known as Ruffini's rule). First, write all the coefficients of the polynomial in the numerator in descending order based on grade (putting a zero if a term doesn't exist). Then, take the first coefficient (12) and multiply it by the root of the denominator (2). Add the result to the second coefficient and multiply this by 2 and so on. In the last row appear the new coefficients of the polynomial. Use these coefficients to rewrite the new polynomial with a lower grade, and the remainder (93) divided by the divisor.

Final Answer

$12x^{2}+25x+45+\frac{93}{x-2}$

Explore different ways to solve this problem

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

SimplifyFactor by completing the squareFind the integralFind the derivativeFind (12x^3+x^2)/(x-2) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Plotting: $12x^{2}+25x+45+\frac{93}{x-2}$

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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

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