Loading the lesson
Loading the lesson
Search AllRounder.ai
Search the courses, subjects, tracks, games and features, or jump straight to a page.
Search the courses, subjects, tracks, games and features, or jump straight to a page.
2 cards from this section. Quick, good the night before a test.
Evaluate f(3) for f(x) = x^2 - 9 before identifying a factor.
Plug in x = 3 into the polynomial.
Check if (x - 1) is a factor of f(x) = x^2 - x.
Evaluate f(x) at x = 1.
What does the Factor Theorem state about a polynomial and its value at a root?
Remember what happens at roots.
If f(0) = 5, does (x - 0) divide the polynomial f?
Consider how factors relate to roots.
Prove that if a polynomial of degree n has n distinct roots, then it can be expressed as a product of linear factors.
Break down the proof by induction over the degree.
Given a polynomial p(x) = x^4 - 16, find its factors and confirm the roots using the Factor Theorem.
Consider how to approach factorization in steps.
4 more questions in this section. Enroll free to practise them all.
Enroll free