Show that (x + 3) and (2x – 1) are factors of 2×2 + 5x – 3.

By factor theorem, show that (x + 3) and (2x – 1) are factors of 2x² + 5x – 3.

Solution:

Show that (x – 2) is a factor of 3x² – x – 10. Hence factorise 3x² – x – 10.

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.