FIND THE COEFFICIENTS FROM THE PRODUCT OF ALGEBRAIC TERMS

Problem 1 :

2.3x × 1.1x × 2.5x, what is coefficient of the product

a)  4.325      b)  6.325      c)  3.325      d)  None of these

Solution :

2.3x × 1.1x × 2.5x

Product of Coefficient = 2.3 × 1.1 × 2.5

= 6.325

So, option (b) is correct.

Problem 2 :

3x + 5yz + 7x²

write the product of coefficients in this expression.

Solution :

Expression 7x² + 5yz + 3x

Coefficients 7, 5, 3

Product of coefficients = 7 × 5 × 3

= 105

Problem 3 :

Find the product of 

(4.1X + 5.6Y) (1.2XY - 3Y)

and write all the coefficients.

Solution :

= (4.1X + 5.6Y) (1.2XY - 3Y)

= 4.1X (1.2XY - 3Y) + 5.6Y (1.2XY - 3Y)

= 4.92X²Y - 12.3XY + 6.72XY² - 16.8Y²

= 4.92X²Y + 6.72XY² - 12.3XY - 16.8Y²

Coefficients = 4.92, 6.72, -12.3, -16.8