Loading

Module 1: Factors of polynomials

Notes
Study Reminders
Support
Text Version

Factorisation process for quartics

Set your study reminders

We will email you at these times to remind you to study.
  • Monday

    -

    7am

    +

    Tuesday

    -

    7am

    +

    Wednesday

    -

    7am

    +

    Thursday

    -

    7am

    +

    Friday

    -

    7am

    +

    Saturday

    -

    7am

    +

    Sunday

    -

    7am

    +

XSIQ
*

Intermediate Mathematics - Factorisation process for quartics

Factorisation process for quartics

(a) Take out any common factors.

(b) Look for possible use of "difference of perfect squares" - DOPS. This
pattern is also known as "difference of two squares" - DOTS.

(c) Check the graph of y=P(x) (using your graphics calculator) to see if
there are any "zeros" or X-intercepts. It is possible that the quartic
expression may not be factorisable if no "zeros" exist graphically. Even
though it may be tedious, the Factor Theorem and long division can still be
used.

(d) Useful Identity

(e) Some quartic expressions can be treated as quadratics. A typical
example of this is illustrated by the expression x- 7x+6, which can be
thought of as A- 7A + 6 where A=x

Previous | Next