Zero-factor principle
Zero-factor principle is a skill on Pengi from Lesson 3: Solving Quadratic Equations by Factoring in Yoshiwara Elementary Algebra.
Key Concepts
Property If the product of two numbers is zero, then one (or both) of the numbers must be zero. Using symbols,.
If $AB = 0$, then either $A = 0$ or $B = 0$.
Examples To solve $(x 7)(x + 2) = 0$, we set each factor to zero. This gives us $x 7 = 0$ or $x + 2 = 0$, so the solutions are $x = 7$ and $x = 2$. If $y(y 10) = 0$, then either $y = 0$ or $y 10 = 0$. The two solutions for the equation are $y = 0$ and $y = 10$. Given $(2a + 1)(a 5) = 0$, we solve $2a + 1 = 0$ to get $a = \frac{1}{2}$, and we solve $a 5 = 0$ to get $a = 5$.
Common Questions
What is Zero-factor principle?
Zero-factor principle is a skill on Pengi from Lesson 3: Solving Quadratic Equations by Factoring in Yoshiwara Elementary Algebra.
What grade level is Zero-factor principle for?
Zero-factor principle is part of the Grade 6 Math curriculum, covered in Yoshiwara Elementary Algebra. It is designed for students studying Math at the Grade 6 level.
How can I learn Zero-factor principle?
Pengi offers an AI-guided lesson for Zero-factor principle that walks you through the key concepts step by step. The lesson is aligned to Yoshiwara Elementary Algebra so the content matches what you see in class.
How do I practice Zero-factor principle?
After learning the concept, use the Practice mode to work through targeted exercises on Zero-factor principle. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Zero-factor principle?
Zero-factor principle is covered in Yoshiwara Elementary Algebra, specifically in Chapter 6: Quadratic Equations under Lesson 3: Solving Quadratic Equations by Factoring. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Zero-factor principle free to study on Pengi?
Yes, the core Learn and Practice modes for Zero-factor principle are available for free on Pengi. No credit card is required to start studying.