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Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
Evaluate
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Solve Equations
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Evaluate
\left(x-3\right)\left(x-1\right)\left(x+2\right)
(
x
−
3
)
(
x
−
1
)
(
x
+
2
)
View solution steps
Solution Steps
(x-3)(x+2)(x-1)
(
x
−
3
)
(
x
+
2
)
(
x
−
1
)
Apply the distributive property by multiplying each term of x-3 by each term of x+2.
Apply the distributive property by multiplying each term of
x
−
3
by each term of
x
+
2
.
\left(x^{2}+2x-3x-6\right)\left(x-1\right)
(
x
2
+
2
x
−
3
x
−
6
)
(
x
−
1
)
Combine 2x and -3x to get -x.
Combine
2
x
and
−
3
x
to get
−
x
.
\left(x^{2}-x-6\right)\left(x-1\right)
(
x
2
−
x
−
6
)
(
x
−
1
)
Apply the distributive property by multiplying each term of x^{2}-x-6 by each term of x-1.
Apply the distributive property by multiplying each term of
x
2
−
x
−
6
by each term of
x
−
1
.
x^{3}-x^{2}-x^{2}+x-6x+6
x
3
−
x
2
−
x
2
+
x
−
6
x
+
6
Combine -x^{2} and -x^{2} to get -2x^{2}.
Combine
−
x
2
and
−
x
2
to get
−
2
x
2
.
x^{3}-2x^{2}+x-6x+6
x
3
−
2
x
2
+
x
−
6
x
+
6
Combine x and -6x to get -5x.
Combine
x
and
−
6
x
to get
−
5
x
.
x^{3}-2x^{2}-5x+6
x
3
−
2
x
2
−
5
x
+
6
Expand
x^{3}-2x^{2}-5x+6
x
3
−
2
x
2
−
5
x
+
6
View solution steps
Solution Steps
(x-3)(x+2)(x-1)
(
x
−
3
)
(
x
+
2
)
(
x
−
1
)
Apply the distributive property by multiplying each term of x-3 by each term of x+2.
Apply the distributive property by multiplying each term of
x
−
3
by each term of
x
+
2
.
\left(x^{2}+2x-3x-6\right)\left(x-1\right)
(
x
2
+
2
x
−
3
x
−
6
)
(
x
−
1
)
Combine 2x and -3x to get -x.
Combine
2
x
and
−
3
x
to get
−
x
.
\left(x^{2}-x-6\right)\left(x-1\right)
(
x
2
−
x
−
6
)
(
x
−
1
)
Apply the distributive property by multiplying each term of x^{2}-x-6 by each term of x-1.
Apply the distributive property by multiplying each term of
x
2
−
x
−
6
by each term of
x
−
1
.
x^{3}-x^{2}-x^{2}+x-6x+6
x
3
−
x
2
−
x
2
+
x
−
6
x
+
6
Combine -x^{2} and -x^{2} to get -2x^{2}.
Combine
−
x
2
and
−
x
2
to get
−
2
x
2
.
x^{3}-2x^{2}+x-6x+6
x
3
−
2
x
2
+
x
−
6
x
+
6
Combine x and -6x to get -5x.
Combine
x
and
−
6
x
to get
−
5
x
.
x^{3}-2x^{2}-5x+6
x
3
−
2
x
2
−
5
x
+
6
Graph
Quiz
Polynomial
5 problems similar to:
(x-3)(x+2)(x-1)
(
x
−
3
)
(
x
+
2
)
(
x
−
1
)
Similar Problems from Web Search
How do you simplify \displaystyle{\left({3}{x}+{2}\right)}{\left({x}-{1}\right)}+{4}{x} ?
How do you simplify
(
3
x
+
2
)
(
x
−
1
)
+
4
x
?
https://socratic.org/questions/how-do-you-simplify-3x-2-x-1-4x
\displaystyle{3}{x}^{{2}}+{3}{x}-{2} Explanation: We multiply out the terms in the parentheses first which gives us: (3x+2)(x-1)= \displaystyle{3}{x}^{{2}}-{3}{x}+{2}{x}-{2} Now we just ...
3
x
2
+
3
x
−
2
Explanation: We multiply out the terms in the parentheses first which gives us: (3x+2)(x-1)=
3
x
2
−
3
x
+
2
x
−
2
Now we just ...
-3x5+2x-1
−
3
x
5
+
2
x
−
1
https://www.tiger-algebra.com/drill/-3x5_2x-1/
-3x5+2x-1 Final result : (-3x4 + 3x3 - 3x2 + 3x - 1) • (x + 1) Reformatting the input : Changes made to your input should not affect the solution: (1): "x5" was replaced by "x^5". Step by ...
-3x5+2x-1 Final result : (-3x4 + 3x3 - 3x2 + 3x - 1) • (x + 1) Reformatting the input : Changes made to your input should not affect the solution: (1): "x5" was replaced by "x^5". Step by ...
For what values of x is \displaystyle{f{{\left({x}\right)}}}={\left({x}-{3}\right)}{\left({x}+{2}\right)}{\left({x}-{1}\right)} concave or convex?
For what values of x is
f
(
x
)
=
(
x
−
3
)
(
x
+
2
)
(
x
−
1
)
concave or convex?
https://socratic.org/questions/for-what-values-of-x-is-f-x-x-3-x-2-x-1-concave-or-convex
Refer Explanation. Explanation: Given that: \displaystyle{f{{\left({x}\right)}}}={\left({x}-{3}\right)}{\left({x}+{2}\right)}{\left({x}-{1}\right)} \displaystyle\therefore \displaystyle{f{{\left({x}\right)}}}={\left({x}^{{2}}-{x}-{6}\right)}{\left({x}-{1}\right)} ...
Refer Explanation. Explanation: Given that:
f
(
x
)
=
(
x
−
3
)
(
x
+
2
)
(
x
−
1
)
∴
f
(
x
)
=
(
x
2
−
x
−
6
)
(
x
−
1
)
...
How do you write \displaystyle{\left({x}-{3}\right)}{\left({x}+{2}\right)}{\left({x}+{5}\right)} in standard form?
How do you write
(
x
−
3
)
(
x
+
2
)
(
x
+
5
)
in standard form?
https://socratic.org/questions/how-do-you-write-x-3-x-2-x-5-in-standard-form
Think distributivity (aka rainbow method) Explanation: \displaystyle{\left({x}-{3}\right)}{\left({x}+{2}\right)}{\left({x}+{5}\right)} \displaystyle={\left({x}^{{2}}+{2}{x}-{3}{x}-{6}\right)}{\left({x}+{5}\right)} ...
Think distributivity (aka rainbow method) Explanation:
(
x
−
3
)
(
x
+
2
)
(
x
+
5
)
=
(
x
2
+
2
x
−
3
x
−
6
)
(
x
+
5
)
...
3(x+2)=2x-1
3
(
x
+
2
)
=
2
x
−
1
https://www.tiger-algebra.com/drill/3(x_2)=2x-1/
3(x+2)=2x-1 One solution was found : x = -7 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ...
3(x+2)=2x-1 One solution was found : x = -7 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ...
(x+2)(x2-2x+4)
(
x
+
2
)
(
x
2
−
2
x
+
4
)
https://www.tiger-algebra.com/drill/(x_2)(x2-2x_4)/
(x+2)(x2-2x+4) Final result : (x + 2) • (x2 - 2x + 4) Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Step by step ...
(x+2)(x2-2x+4) Final result : (x + 2) • (x2 - 2x + 4) Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Step by step ...
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\left(x^{2}+2x-3x-6\right)\left(x-1\right)
Apply the distributive property by multiplying each term of x-3 by each term of x+2.
\left(x^{2}-x-6\right)\left(x-1\right)
Combine 2x and -3x to get -x.
x^{3}-x^{2}-x^{2}+x-6x+6
Apply the distributive property by multiplying each term of x^{2}-x-6 by each term of x-1.
x^{3}-2x^{2}+x-6x+6
Combine -x^{2} and -x^{2} to get -2x^{2}.
x^{3}-2x^{2}-5x+6
Combine x and -6x to get -5x.
\left(x^{2}+2x-3x-6\right)\left(x-1\right)
Apply the distributive property by multiplying each term of x-3 by each term of x+2.
\left(x^{2}-x-6\right)\left(x-1\right)
Combine 2x and -3x to get -x.
x^{3}-x^{2}-x^{2}+x-6x+6
Apply the distributive property by multiplying each term of x^{2}-x-6 by each term of x-1.
x^{3}-2x^{2}+x-6x+6
Combine -x^{2} and -x^{2} to get -2x^{2}.
x^{3}-2x^{2}-5x+6
Combine x and -6x to get -5x.
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(x-3)(x+2)(x-1)
(
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