All Algebra II Resources
Example Questions
Example Question #1 :How To Multiply Binomials With The Distributive Property
Expand:
First, FOIL:
Simplify:
Distribute thethrough the parentheses:
Rewrite to make the expression look like one of the answer choices:
Example Question #11 :Simplifying Expressions
Simplify the expression.
None of the other answers are correct.
When simplifying polynomials, only combine the variables with like terms.
can be added to, giving.
can be subtracted fromto give.
Combine both of the terms into one expression to find the answer:
Example Question #151 :Variables
Simplify the following expression.
This is not a FOIL problem, as we are adding rather than multiplying the terms in parentheses.
Add like terms to solve.
andhave no like terms and cannot be combined with anything.
5 and -5 can be combined however:
This leaves us with.
Example Question #1 :How To Subtract Polynomials
Simplify the following:
None of the other answers are correct.
First, FOIL the two binomials:
Then distribute thethrough the terms in parentheses:
Combine like terms:
Example Question #11 :Polynomials
Simplify the following expression:
This is not a FOIL problem, as we are adding rather than multiplying the terms in parentheses.
Add like terms together:
has no like terms.
Combine these terms into one expression to find the answer:
Example Question #1 :How To Multiply Polynomials
Simplify the expression.
The expression cannot be simplified further.
When multiplying exponential components, you must add the powers of each term together.
Example Question #7 :How To Multiply Polynomials
None of the other answers are correct.
When multiplying polynomials, add the powers of each like-termed variable together.
For x: 5 + 2 = 7
For y: 17 + 2 = 19
Therefore the answer is.
Example Question #12 :Simplifying Expressions
Simplify the following:
This fraction cannot be simplified.
First we will factor the numerator:
Then factor the denominator:
We can re-write the original fraction with these factors and then cancel an (x-5) term from both parts:
Example Question #1 :Operations With Polynomials
Divideby.
First, set up the division as the following:
Look at the leading termin the divisor andin the dividend. Dividebygives; therefore, puton the top:
Then take thatand multiply it by the divisor,, to get. Place thatunder the division sign:
Subtract the dividend by that sameand place the result at the bottom. The new result is, which is the new dividend.
Now,is the new leading term of the dividend. Dividingbygives 5. Therefore, put 5 on top:
米ultiply that 5 by the divisor and place the result,, at the bottom:
Perform the usual subtraction:
Therefore the answer iswith a remainder of, or.
Example Question #81 :Polynomials
Simplify the expression:
The fraction cannot be simplified further.
When dividing polynomials, subtract the exponent of the variable in the numberator by the exponent of the same variable in the denominator.
If the power is negative, move the variable to the denominator instead.
First move the negative power in the numerator to the denominator:
Then subtract the powers of the like variables:
Certified Tutor
Certified Tutor