Degree of a Product
Degree of a Product is a skill on Pengi from Lesson 1: Polynomial Functions in Yoshiwara Intermediate Algebra.
Key Concepts
Property The degree of a product of non zero polynomials is the sum of the degrees of the factors. That is: If $P(x)$ has degree $m$ and $Q(x)$ has degree $n$, then their product $P(x)Q(x)$ has degree $m + n$.
Examples If you multiply a polynomial of degree 3 by a polynomial of degree 4, the resulting polynomial will have a degree of $3 + 4 = 7$. Let $P(x) = 3x^5 + x$ and $Q(x) = 2x^2 1$. The degree of $P(x)Q(x)$ is $5 + 2 = 7$. The lead term of the product $(4x^2 + 3x)(2x^3 5)$ is found by multiplying the lead terms of each factor: $(4x^2)(2x^3) = 8x^5$. The degree is 5.
Explanation When you multiply polynomials, their degrees add up. To find the degree of the resulting polynomial, just sum the degrees of the original polynomials you are multiplying together. This is a quick way to know the final outcome without full calculation.
Common Questions
What is Degree of a Product?
Degree of a Product is a skill on Pengi from Lesson 1: Polynomial Functions in Yoshiwara Intermediate Algebra.
What grade level is Degree of a Product for?
Degree of a Product is part of the Grade 7 Math curriculum, covered in Yoshiwara Intermediate Algebra. It is designed for students studying Math at the Grade 7 level.
How can I learn Degree of a Product?
Pengi offers an AI-guided lesson for Degree of a Product that walks you through the key concepts step by step. The lesson is aligned to Yoshiwara Intermediate Algebra so the content matches what you see in class.
How do I practice Degree of a Product?
After learning the concept, use the Practice mode to work through targeted exercises on Degree of a Product. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Degree of a Product?
Degree of a Product is covered in Yoshiwara Intermediate Algebra, specifically in Chapter 8: Polynomial and Rational Functions under Lesson 1: Polynomial Functions. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Degree of a Product free to study on Pengi?
Yes, the core Learn and Practice modes for Degree of a Product are available for free on Pengi. No credit card is required to start studying.