GED Math Practice Questions: Multiplying and Dividing Polynomials
On the GED Mathematical Reasoning test, you may need to multiply or divide polynomial expressions. You can solve these expressions using either a horizontal or vertical approach, as shown in the following practice questions.
Practice questions

Solve the following:

Solve the following:
Answers and explanations

112x^{2} – 94xy – 51y^{2}
To solve this equation, start by multiplying the first term in the first polynomial by the two terms in the second polynomial: 14x (8x + 3y) = 112x^{2} + 42xy. Multiply the second term in the first polynomial by the two terms in the second polynomial:
112x^{2} + 42xy + 136xy + 51y^{2} = 112x^{2} – 51y^{2} + 136xy
Now, put it all together and simplify:
112x^{2} – 94xy – 51y^{2}

a + 5
To solve this problem, use long division:
Change the signs to subtract:
Carry down 5b – 10 to get:
You can see that the next term will be +5:
You have your answer. Change the signs to subtract and make sure you have no remainder: