Question

1. Which is equivalent to the expression below?
(3.x2 – 2x + 5) - (2x2 – 5x + 1)

Answer 1

x^2 + 3x + 4

Explanation:

(3.x2 – 2x + 5) - (2x2 – 5x + 1) Combine like terms: x^2, x and constants:

3x^2 - 2x^2 -2x + 5x + 5 - 1

This condenses to

x^2 + 3x + 4

Answer 2

x = 6

x = 1

Explanation:

(3x² - 2x + 5) - (2x² - 5x + 1)

= 3x² - 2x² - 2x - 5x + 5 + 1

= x² - 7x + 6

= (x - 6)(x - 1)

x - 6 = 0

x = 6

x - 1 = 0

x = 1