07 Algebraic methods

Question 1

What process is used to do polynomial division?

Answer 1

long division.

Question 2

What is the first step of polynomial division?

Answer 2

Divide the first term of the polynomial by the ‘x’ value.

Question 3

What should you do once you have divided the first term of the polynomial by the ‘x’ value?

Answer 3

Multiply the product of this division by the number that you are dividing by. Once you have done this subtract this from the first two terms of the polynomial.

Question 4

What is the factor theorem rule?

Answer 4

if f(p)=0 then x-p is a factor of f(x)

Question 5

How do you approach a ‘show that’ question using algebraic division?

Answer 5

Divide the polynomial by the term you have been asked to prove is a factor, if there is no remainder then the term is a factor.

Question 6

How do you approach a ‘show that’ question using factor theorem?

Answer 6

Substitute the x term into the polynomial, if it equals 0 then it is a factor.

Question 7

How do you write an even number algebraicly?

Answer 7

2n

Question 8

How do you write an odd number algebraicly?

Answer 8

2n+1 or 2n-1