Factorising Quadratics: Non-Monic

The video tutorial explains how to factorize non-monic quadratics, starting with a trial and error method and then introducing a fail-safe method that avoids guesswork. The fail-safe method involves multiplying the coefficient of the x squared term with the constant, listing factors, and rewriting the quadratic. The video also covers an alternative approach and provides practice problems for students to apply the methods learned. The tutorial concludes with tips for ensuring correct factorization and encourages regular practice.

What is a non-monic quadratic?

• A quadratic with a leading coefficient other than one

• A quadratic with a leading coefficient of one

• A quadratic with no constant term

• A quadratic with only one solution

Which method involves guessing and checking to find factors of a quadratic?

• Quadratic formula

• Graphical method

• Trial and error method

• Completing the square

In the fail-safe method, what is the first step to factorize a non-monic quadratic?

• Add the coefficients of the quadratic

• Multiply the leading coefficient by the constant term

• Divide the quadratic by its leading coefficient

• Subtract the constant term from the leading coefficient

Why is it important to have identical brackets in the factorization process?

• To ensure the quadratic is simplified

• To verify the factorization is correct

• To make the quadratic easier to solve

• To eliminate the constant term

What should you do if the brackets are not identical during factorization?

• Add a constant to make them identical

• Multiply the brackets again

• Check for mistakes and correct them

• Ignore and proceed