S5 Pol 3 Polynomial Division

Stage 5 Mathematics Polynomial Division

Divide two polynomials using long division.

Write any polynomial using the division transformation.

In the form LaTeX: P(x)=A(x)Q(x)+R(x) $P(x)=A(x)Q(x)+R(x)$

Open Ended Task

After completing a polynomial division, Sally was left with a quotient of LaTeX: 2x^2-4x+3 $2x^2-4x+3$ and a remainder of 2.

What could have been the divisor and the dividend?

(Give two possible answers)

1. In the polynomial division transformation LaTeX: P(x)=D(x)Q(x)+R(x) $P(x)=D(x)Q(x)+R(x)$ , what are the names of all the components?

2. The polynomial LaTeX: x^2+2x+1 $x^2+2x+1$ is divided by LaTeX: 3x+2 $3x+2$ . What is the quotient and remainder?

After completing a polynomial division, Jo was left with a quotient of LaTeX: 2x^2-4x+3 $2x^2-4x+3$ and a remainder of LaTeX: x+5 $x+5$ .

What could have been the divisor and the dividend?

(Give two possible answers)

Panel Content

After completing a polynomial division, Harry was left with a quotient of LaTeX: 3x^2+5x-1 $3x^2+5x-1$ and a remainder of -3.

What could have been the divisor and the dividend?

(Give two possible answers)

Panel Content

Check Your Understanding

Click here and complete the task.