Finding Roots - High School Math
Card 0 of 20
Find the zeros.
Find the zeros.
Factor the equation to 
. Set both equal to zero and you get 
and 
. Remember, the zeros of an equation are wherever the function crosses the 
-axis.
Factor the equation to
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Find the zeros.
Find the zeros.
Factor out an 
from the equation so that you have  "x(x-10)")
. Set 
and 
equal to 
. Your roots are 
and 
.
Factor out an
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Find the zeros.
Find the zeros.
Set 
equal to zero and you get 
. Set 
equal to zero as well and you get 
and 
because when you take a square root, your answer will be positive and negative.
Set
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Find the zeros.
Find the zeros.
Factor out a 
from the entire equation. After that, you get 
. Factor the expression to 
. Set both of those equal to zero and your answers are 
and 
.
Factor out a
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Find the zeros.
Find the zeros.
This expression is the difference of perfect squares. Therefore, it factors to
. Set both of those equal to zero and your answers are 
and 
.
This expression is the difference of perfect squares. Therefore, it factors to
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Find the zeros.
Find the zeros.
Factor the equation to 
. Set both equal to 
and you get 
and 
.
Factor the equation to
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Find the zeros.
Find the zeros.
Factor a 
out of the quation to get
which can be further factored to
.
Set the last two expressions equal to zero and you get 
and 
.
Factor a
which can be further factored to
Set the last two expressions equal to zero and you get
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Find the zeros.
Find the zeros.
Set each expression equal to zero and you get 0 and 6.
Set each expression equal to zero and you get 0 and 6.
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Find the zeros.
Find the zeros.
Set both expressions equal to 
. The first factor yields 
. The second factor gives you 
.
Set both expressions equal to
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Find the zeros.
Find the zeros.
Set both expressions to 
and you get 
and 
.
Set both expressions to
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Solve the following equation by factoring.
Solve the following equation by factoring.
We can factor by determining the terms that will multiply to –8 and add to +7.
Our factors are +8 and –1.
Now we can set each factor equal to zero and solve for the root.
We can factor by determining the terms that will multiply to –8 and add to +7.
Our factors are +8 and –1.
Now we can set each factor equal to zero and solve for the root.
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Solve the following equation by factoring.
Solve the following equation by factoring.
We know that one 
term has a coefficient of 2 and that our factors must multiply to –10.
Our factors are +2 and –5.
Now we can set each factor equal to zero and solve for the root.
We know that one
Our factors are +2 and –5.
Now we can set each factor equal to zero and solve for the root.
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Solve the following equation by factoring.
Solve the following equation by factoring.
First, we can factor an 
term out of all of the values.
We can factor remaining polynomial by determining the terms that will multiply to +4 and add to +4.
Our factors are +2 and +2.
Now we can set each factor equal to zero and solve for the root.
First, we can factor an
We can factor remaining polynomial by determining the terms that will multiply to +4 and add to +4.
Our factors are +2 and +2.
Now we can set each factor equal to zero and solve for the root.
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Find the sum of the solutions to:
Find the sum of the solutions to:
Multiply both sides of the equation by 
, to get
This can be factored into the form
So we must solve
and
to get the solutions.
The solutions are:
and their sum is 
.
Multiply both sides of the equation by
This can be factored into the form
So we must solve
and
to get the solutions.
The solutions are:
and their sum is
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Solve 
Solve
Factor the problem and set each factor equal to zero.
becomes 
so 
Factor the problem and set each factor equal to zero.
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Solve 
.
Solve
Factor the quadratic equation and set each factor equal to zero:
becomes 
so the correct answer is 
.
Factor the quadratic equation and set each factor equal to zero:
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Solve 
.
Solve
To find the roots of this equation, you can factor it to
Set each of those expressions equal to zero and then solve for 
. The roots are 
and 
.
To find the roots of this equation, you can factor it to
Set each of those expressions equal to zero and then solve for
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What are the roots of 
?
What are the roots of
To find the roots, we need to find the values that would make 
. Since there are two parts to 
, we will have two roots: one where 
, and one where 
.
Solve each one individually:
Therefore, our roots will be 
.
To find the roots, we need to find the values that would make
Solve each one individually:
Therefore, our roots will be
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What are the roots of 
?
What are the roots of
To find the roots, we need to find what would make 
. Since there are two parts to 
, we will have two roots: one where 
, and one where 
.
Solve each individually.
Our two roots will be 
.
To find the roots, we need to find what would make
Solve each individually.
Our two roots will be
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