Theorem to factorise the following expression : 2×3 + x2 – 13x + 6.

(i) Use the Remainder Theorem to factorize the following expression: 2x³ + x² – 13x + 6. (2010)
(ii) Using the Remainder Theorem, factorize completely the following polynomial: 3x² + 2x² – 19x + 6 (2012)

Solution:

Using the Remainder and Factor Theorem, factorize the following polynomial: x³ + 10x² – 37x + 26.

Solution:

More Solutions:

• If (x + 2) and (x – 3) are factors of x3 + ax + b.
• If (x – 2) is a factor of the expression 2×3 + ax2 + bx – 14
• If ax3 + 3×2 + bx – 3 has a factor (2x + 3) and leaves remainder – 3
• When x3 – 3×2 + 5x – 7 is divided by x – 2.
• If on dividing 4×2 – 3kx + 5 by x + 2.