Algebra Long Division, Factor Theorem, Algebra Fractions

Question 1

How do you do Algebra Long Division?

Answer 1

Put on top whatever ex needs to be multiplied by to get ax^3. The multiply ex + f by that answer and subtract from ax3 + bx2 + cx + d. Repeat until it equals 0

Question 2

What is the method for Algebra Long Division?

Answer 2

(ax^3 + bx^2 + cx + d) / (ex + f)
______________
ex + f /ax^3 + bx^2 + cx + d

Question 3

Explain how to do Factor Theorem.

Answer 3

Show that ex + f is a factor of ax^3 + bx^2 + cx + d
Substitute (x = -f/e)
Solve – if it equals 0 it is a factor

Question 4

How do you simplify algebra fractions?

Answer 4

Factorise the numerator and the denominator. Then cancel out the factors.