ConceptStep · learning platform for computer science

Monomial times polynomial

Mathematics — first biennium · Lesson

Polynomials · 4

Distribution reaches every term

Multiply the monomial by every term of the polynomial. In each product, multiply coefficients and add exponents of equal bases. No term may be skipped.

Formula matematica
Distributive property
Formula matematica

Three terms inside the parentheses mean three products.

What you need to know before the exercises

In this lesson: Apply the distributive property by multiplying a monomial by every term of a polynomial.

You can already assume: Monomial multiplication and distributive property.

Try it now

Distribute the monomial

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

Guide
  1. Multiply the monomial by the first term.
  2. Repeat for the second and third terms.
  3. Check signs, coefficients and exponents.
Formula matematica
· (
Formula matematica
)
Your competency map

What you need to know for Monomial times polynomial

ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.

Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

GUIDED LEARNING PATHS

Want to choose the next skill to develop?