If (2x – 3) is a factor of 6×2 + x + a, find the value of a.

If (2x – 3) is a factor of 6x² + x + a, find the value of a. With this value of a, factorize the given expression.

Solution:

When 3x² – 5x + p is divided by (x – 2), the remainder is 3. Find the value of p. Also factorise the polynomial 3x² – 5x + p – 3.

Solution:

More Solutions:

• Find two numbers in the ratio of 8: 7 such that.
• A certain sum was divided among A, B and C in the ratio 7 : 5 : 4.
• In a mixture of 45 liters, the ratio of milk to water is 13: 2.
• The monthly pocket money of Ravi and Sanjeev are in the ratio 5: 7.
• Find the value of x in the following proportions.
• Find the third proportional to 5, 10.