Question

( 2x^3 - 5x - 7) ÷ (x - 2)​

Answer 1

Answer:

Quotient = 2x² + 4x + 3

Remainder = -1

Step-by-step explanation:

(2x³ - 5x - 7) ÷ (x - 2)

= (2x³ + 0x² - 5x - 7) ÷ (x - 2)

2x² + 4x + 3

______________

x - 2 | 2x³ + 0x² - 5x - 7

- (2x³ - 4x²)

(-) (+)

———————

0 + 4x² - 5x

-(4x² - 8x)

(-) (+)

———————

0 + 3x - 7

-(3x - 6)

———————

- 1

———————

Thus,

Quotient = 2x² + 4x + 3

Remainder = -1

Hope it helped and you understood it........All the best