GRE Subject Test: Math : GRE Subject Test: Math
Study concepts, example questions & explanations for GRE Subject Test: Math
All GRE Subject Test: Math Resources
Example Questions
Example Question #2 : Binomial Expansion
Expand by distributing each of the factors
Simplify
Simplify
Example Question #11 : Algebra
Expand:
None
Step 1: Let's start small, expand 
Step 2: Expand
Take the final answer of Step 1 and multiply it by 
Step 3: Multiply again by 
Example Question #1 : Fundamental Theorem Of Algebra
The corollary to the Fundamental Theorem of Algebra states that for any polynomial the number of solutions will match the degree of the function.
The degree of a function is determined by the highest exponent for x, which in this case is 7.
This means that there will be 7 solutions total for the below function.
This means that max number of REAL solutions would be 7, but the total number of solutions, real, repeated or irrational will total 7.
Example Question #2 : Fundamental Theorem Of Algebra
In order to determine the correct answer, we must first change the function to be in standard form. A function in standard form begins with the largest exponent then decreases from there.
We must change:
to become:
Once we have established standard form, we can now see that this is a degree 3 polynomial, which means that it will have 3 roots or solutions.
Example Question #1 : Fundamental Theorem Of Algebra
If a complex or imaginary root exists, its' complex conjugate must also exist as a root.
Example Question #4 : Fundamental Theorem Of Algebra
Based upon the corollary to the Fundamental Theorem of Algebra, the degree of a function determines the number of solutions/zeros/roots etc. that exist. They may be real, repeated, imaginary or irrational.
In this case, we must first change the function to be in standard form before determining the degree. Standard form means that the largest exponent goes first and the terms are organized by decreasing exponent.
Now that the polynomial is in standard form, we see that the degree is 8.
There exists 8 total solutions/roots/zeros for this polynomial.
Example Question #1 : Solving Inequalities
Given the following inequality, find
Before we get started, read the question carefully. We need to find x squared, not x. Don't call it quits too early!
So, we start here:
Get the x's on one side and the constants on the other.
When we divide by a negative number in an inequality, remember that we need to switch the direction of the sign.
Example Question #2 : Solving Inequalities
Solve the inequality for 
We can either divide the other side of the inequality by 
Now we just solve:
Example Question #3 : Solving Inequalities
If 
More information is needed to solve the problem.
The first thing we must do is solve the given equation for 
Since we are looking for values when 
Solve.
So, 
Example Question #4 : Solving Inequalities
If 
More information is needed to solve the problem.
Our first step will be to solve the given equation for 
Since we want to know the smallest integer of 
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All GRE Subject Test: Math Resources
