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We can use the factor theorem to find one factor of a cubic function, and then use polynomial long division to find the remaining factor(s).
In order to simplify certain sorts of algebraic fraction we need a process known as polynomial division. This unit describes this process. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that all this becomes second nature.
WORKSHEET 6.5 PART 1 – Long Division of Polynomials Name: _____ Hour: _____ Date: _____ DIRECTIONS: Divide the polynomials using Long Division. 1) (x2 – 6x + 4) ÷ (x + 1) 2) (x3 + 5x2 – 4) ÷ (x + 4) 3) (10x3 + 27x2 + 14x + 5) ÷ (x2 + 2x) 4) (2x4 + 3x – 1) ÷ (x2 + 2x + 1)
Divide using polynomial long division. Worksheet by Kuta Software LLC Use the Factor Theorem to determine whether the given binomial is a factor of the given polynomial.
Polynomial Long Division Version 2 Name: _____ Date: _____ Score: _____ 1) 2 6 4 4 2 4 x x x x y 52 4 3 22 4 5 8 28 24 x x x x x 2) 3 1 2 xx y 4 3 6 12 2432 47 2 x x x x 3) 2 1 1 xx y 6 2 2 2 2 2 25 4 3 2 1 1 x x x x x x Direction: Divide the polynomials using “Long Method”.
When factoring polynomials we are in some sense dividing one polynomial into an-other. How do you divide polynomials. Good question and let’s consider an example to go through the steps. Example Let’s try dividing x4 +x3 11x2 5X +6 by x+3. Solution x3 2x2 5x + 2 x+3) x4+ x3 11x2 5x +6 4(x + 3x3) 2x3 11x2 2( 2x3 6x ) 25x 5x 2( 5x 15x) 10x ...
Use long division to divide polynomials by other polynomials. Use synthetic division to divide polynomials by binomials of the form x − k . Use the Remainder Theorem.
