Identify the polynomial that matches the difference of squares pattern.
Question
Identify the polynomial that matches the difference of squares pattern.
Solution
A polynomial that matches the difference of squares pattern is typically in the form of a^2 - b^2. This is because the difference of squares is a special case in algebra where the expression is factored into (a+b)(a-b).
For example, the polynomial x^2 - 9 fits this pattern. Here, a is x (since x^2 is a^2) and b is 3 (since 3^2 is 9).
So, the polynomial x^2 - 9 can be factored into (x+3)(x-3), which is the difference of squares pattern.
Similar Questions
Instructions: Determine if the polynomial represents a Difference of Squares or Perfect Square Trinomial.x2−81
In the polynomial below, what number should replace the question mark to produce a difference of squares?x2 + ?x - 36A.36B.0C.6D.12
Instructions: Determine if the polynomial represents a Difference of Squares or Perfect Square Trinomial.x2+16x+64
Difference of Two Squares
You have earned 5 point(s) out of 5 point(s) thus far.Which of the following statements are true for a quadratic pattern? The pattern has a constant ratio between consecutive terms.The pattern has a constant second level difference between consecutive terms.None of the options given are true.The pattern has a constant difference between consecutive terms.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.