All Common Core: High School - Algebra Resources
Example Questions
Example Question #151 : Arithmetic With Polynomials & Rational Expressions
What are the -intercept(s) of the function?
To find the -intercept of a function, first recall that the
-intercept represents the points where the graph of the function crosses the
-axis. In other words where the function has a
value equal to zero.
One technique that can be used is factorization. In general form,
where,
and
are factors of
and when added together results in
.
For the given function,
the coefficients are,
therefore the factors of that have a sum of
are,
Now find the -intercepts of the function by setting each binomial equal to zero and solving for
.
To verify, graph the function.
The graph crosses the -axis at -6, thus verifying the result found by factorization.
Example Question #152 : Arithmetic With Polynomials & Rational Expressions
Find the zeros of
There are no real roots
In order to find the zeros, we can use the quadratic formula.
Recall the quadratic formula.
Where ,
, and
, correspond to the coefficients in the equation.
In this case ,
and
We plug in these values into the quadratic formula, and evaluate them.
Now we split this up into two equations.
So our zeros are at
Example Question #153 : Arithmetic With Polynomials & Rational Expressions
Find the zeros of
There are no real roots
In order to find the zeros, we can use the quadratic formula.
Recall the quadratic formula.
Where ,
, and
, correspond to the coefficients in the equation.
In this case ,
and
We plug in these values into the quadratic formula, and evaluate them.
Now we split this up into two equations.
So our zeros are at
Example Question #154 : Arithmetic With Polynomials & Rational Expressions
Find the zeros of
There are no real roots
In order to find the zeros, we can use the quadratic formula.
Recall the quadratic formula.
Where ,
, and
correspond to the coefficients in the equation
In this case ,
and
We plug in these values into the quadratic formula, and evaluate them.
Now we split this up into two equations.
So our zeros are at
Example Question #231 : High School: Algebra
Find the zeros of
There are no real roots
In order to find the zeros, we can use the quadratic formula.
Recall the quadratic formula.
Where ,
, and
, correspond to the coefficients in the equation
In this case ,
and
We plug in these values into the quadratic formula, and evaluate them.
Now we split this up into two equations.
So our zeros are at
Example Question #11 : Identify Zeros, Factor And Graph Polynomials: Ccss.Math.Content.Hsa Apr.B.3
Find the zeros of
There are no real roots
In order to find the zeros, we can use the quadratic formula.
Recall the quadratic formula.
Where ,
, and
, correspond to the coefficients in the equation
In this case ,
and
We plug in these values into the quadratic formula, and evaluate them.
Now we split this up into two equations.
So our zeros are at
Example Question #233 : High School: Algebra
Find the zeros of
There are no real roots
In order to find the zeros, we can use the quadratic formula.
Recall the quadratic formula.
Where ,
, and
, correspond to the coefficients in the equation
In this case ,
and
We plug in these values into the quadratic formula, and evaluate them.
Now we split this up into two equations.
So our zeros are at
Example Question #234 : High School: Algebra
Find the zeros of
There are no real roots
In order to find the zeros, we can use the quadratic formula.
Recall the quadratic formula.
Where ,
, and
, correspond to the coefficients in the equation
In this case ,
, and
We plug in these values into the quadratic formula, and evaluate them.
Now we split this up into two equations.
So our zeros are at
Example Question #235 : High School: Algebra
Find the zeros of
There are no real roots
In order to find the zeros, we can use the quadratic formula.
Recall the quadratic formula.
Where ,
, and
, correspond to the coefficients in the equation
In this case ,
and
We plug in these values into the quadratic formula, and evaluate them.
Now we split this up into two equations.
So our zeros are at
Example Question #236 : High School: Algebra
Find the zeros of
There are no real roots
In order to find the zeros, we can use the quadratic formula.
Recall the quadratic formula.
Where ,
, and
, correspond to the coefficients in the equation
In this case ,
and
We plug in these values into the quadratic formula, and evaluate them.
Now we split this up into two equations.
So our zeros are at
All Common Core: High School - Algebra Resources
