Question

what is reminder if polynomial (x³ +125) is divided by (x+5)

Answer 1

Answer:

0

Step-by-step explanation:

According to a³ + b³ = (a + b)(a² - ab + b²),

(x³ + 125)

(x³ + 5³)

(x + 5)(x² - 5x + 5²)

(x + 5)(x² - 5x + 25)

∴ As nothing is remaining there, the remainder is 0.

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#adithyasajeevan

Answer 2

Answer:

Step-by-step explanation:

(x^3 + 125)/(x + 5)

Can be rewritten as

(x^3 + 0x^2 +0x + 125) ÷ (x + 5)

Using long division (#)

# x^3/x = x^2

x^2 * 5 = 5x^2

0x^2 - 5x^2 = -5x^2

# -5x^2/x = -5x

-5x * 5 = -25x

0x - -25x = 25x

# 25x/x = 25

25 * 5 = 125

125 - 125 = 0

Answer = x^2 - 5x + 25