WILL MARK BRANLIEST

Synthetic and Polynomial Long Division

Expressions below

Step-by-step explanation:

1) (x³ - 7) ÷ (x + 2)

(x³ + 2x² - 2x² - 4x + 4x + 8 - 8 - 7) ÷ (x + 2)

[x²(x + 2) - 2x(x + 2) + 4(x + 2) - 15] ÷ (x + 2)

= (x² - 2x + 4) - 15/(x + 2)

2) (2x³ - 3x² - 17x + 30) ÷ (x + 3)

= [2x³ + 6x² - 6x² - 3x² - 10x + 10x - 17x + 30] ÷ (x + 3)

= [2x³ + 6x² - 9x² - 27x + 10x + 30] ÷ (x + 3)

= [2x²(x + 3) - 9x(x + 3) + 10(x + 3)] ÷ (x + 3)

= 2x² - 9x + 10

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