Question Type 1: Finding factors of a polynomial using factor theorem Exercises

Factorize the polynomial $x^3 - 10x^2 + 31x - 30$ completely using the factor theorem.

Factorize the polynomial $x^3 - 4x^2 - x + 4$ completely using the factor theorem.

Factorize the polynomial $x^3 - 6x^2 + 11x - 6$ completely using the factor theorem.

Factorize the polynomial $2x^3 - 3x^2 - 8x + 12$ completely using the factor theorem.

Factorize the polynomial $x^3 + x^2 - 4x - 4$ completely using the factor theorem.

Factorise the polynomial $x^4 - 16$ completely.

Factorize the polynomial $3x^3 + 6x^2 - 3x - 6$ completely using the factor theorem.

Factorize the polynomial $x^3 + 2x^2 - x - 2$ completely using the factor theorem.

Factorize the polynomial $x^3 - x^2 - x + 1$ completely using the factor theorem.

Factorize the polynomial $x^4 + x^3 - x^2 - x$ completely using the factor theorem. [5 marks]

Factorize the polynomial $x^3 - 2x^2 - 5x + 6$ completely using the factor theorem.

Factorize the polynomial $x^4 - x^3 - 7x^2 + x + 6$ completely using the factor theorem.