Polynomials and fractions

9000146210

Level:

Factor the following expression.

64 x^{6} + 125

(4 x^{2} + 5) (16 x^{4} - 20 x^{2} + 25)

(4 x^{2} - 5) (16 x^{4} + 20 x^{2} + 25)

(4 x^{2} + 5) (16 x^{3} - 20 x^{2} + 25)

(4 x^{2} - 5) (16 x^{3} + 20 x^{2} + 25)

Level:

Divide the following two polynomials using long division.

(6 x^{2} - 5 x - 6) : (2 x - 3)

3 x + 2

3 x - 2

3 x - 7 + \frac{15}{2 x - 3}

3 x - 7 - \frac{27}{2 x - 3}

Level:

Divide the following two polynomials using long division.

(2 x^{3} + x^{2} - 17 x + 5) : (x^{2} + 3 x - 1)

2 x - 5

2 x + 5

2 x + 7 + \frac{2 x - 2}{x^{2} + 3 x - 1}

2 x + 7 + \frac{12 - 40 x}{x^{2} + 3 x - 1}

Level:

Divide the following two polynomials using long division.

(4 x^{2} - 10 x - 1) : (x - 2)

4 x - 2 - \frac{5}{x - 2}

4 x - 2 + \frac{3}{x - 2}

4 x + 2 - \frac{5}{x - 2}

4 x + 2 + \frac{3}{x - 2}

Level:

Divide the following two polynomials using long division.

(x^{3} + 3 x^{2} - x + 4) : (x^{2} - x + 1)

x + 4 + \frac{2 x}{x^{2} - x + 1}

x + 4 + \frac{2 x + 8}{x^{2} - x + 1}

x + 2 + \frac{6 - 2 x}{x^{2} - x + 1}

x + 2 + \frac{2 x + 2}{x^{2} - x + 1}