Unit 2, Lesson 4
Combining Polynomials
Integrated Math 3
Practice
Problem 1
Here are two expressions whose product is a new expression, \(A\).
\(\displaystyle (5x^4 + \boxed{\phantom{33}}x^3)(4x^{\boxed{\phantom{3}}} - 6) = A\)
Andre says that any real number can go in either of the boxes and \(A\) will be a polynomial. Is he correct? Explain your reasoning.
Problem 2
Lin divides two polynomials and gets \(0.5x^2 - x + 0.25\). Is this quotient a polynomial? Explain your thinking.
Problem 3
What is the result when any 2 integers are multiplied?
a positive integer
a negative integer