Unit 5, Lesson 10
Rewriting Quadratic Expressions in Factored Form (Part 4)
Integrated Math 2
Practice
Problem 1
To write \(11x^2+17x-10\) in factored form, Diego first listed factor pairs of -10.
\((\underline{\hspace{.25in}}+ 5)(\underline{\hspace{.25in}} + \text-2)\)
\((\underline{\hspace{.25in}}+ 2)(_\underline{\hspace{.25in}} + \text-5)\)
\((\underline{\hspace{.25in}} + 10) (\underline{\hspace{.25in}} + \text-1)\)
\((\underline{\hspace{.25in}} + 1) (\underline{\hspace{.25in}}+ \text-10)\)
- Use what Diego started to write \(11x^2+17x−10\) in factored form.
- How do you know you’ve found the right pair of expressions? What did you look for when trying out different possibilities?
Problem 2
To rewrite \(4x^2-12x-7\) in factored form, Jada listed some factor pairs of \(4x^2\):
\((2x+ \underline{\hspace{.25in}})(2x + \underline{\hspace{.25in}})\)
\((4x + \underline{\hspace{.25in}})(1x + \underline{\hspace{.25in}})\)
Use what Jada started to rewrite \(4x^2-12x-7\) in factored form.