Show that (2x + 1) is a factor of 4×3 + 12×2 + 11 x + 3.

Show that (2x + 1) is a factor of 4x³ + 12x² + 11 x + 3. Hence factorise 4x³ + 12x² + 11x + 3.

Solution:

Show that 2x + 7 is a factor of 2x³ + 5x² – 11x – 14. Hence factorize the given expression completely, using the factor theorem. (2006)

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.