Class 10 Optional Mathematics | Factor Theorem

Optional Mathematics, Class 10, Lesson 2

Factor Theorem

Remainder zero means factor · Test with f(a) · Find the unknown

By the end of this lesson you can

📜

State and prove the factor theorem

🔄

State and prove its converse

✅

Check whether a binomial is a factor

🔍

Find an unknown k, or the number to subtract or add

Exact division

When the remainder is zero

DIVIDE

x^3 + 7x^2 - 12x + 4 divided by x - 1

READ

Quotient x^2 + 8x - 4, remainder 0

WRITE

f(x) = (x - 1)(x^2 + 8x - 4)

The notes are free to read in full.

Presenter notes: Today we learn a quick way to tell whether a binomial is a factor of a polynomial, without doing any long division.