Question

Find remainder when 3 x3 – 10x2 + 13x – 6 is divisible by x – 2 .
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Answer 1

Answer:

4

Step-by-step explanation:

Dividend : 3x³ -10x² +13x - 6

Divisor : x - 2

To find remainder, we first find the zero of the Divisor

Step 1. Equate the divisor to zero

x - 2 = 0

Step 2. Obtain the value of the variable (x)

x = 2

Step 3. Replace the variable(x) in the Dividend with the value obtained

3(2³) - 10(2²) + 13(2) - 6

3(8) - 10(4) + 26 - 6

24 - 40 + 20

= 4

Step 5. The number which we get after replacing the variable with the zero of the divisor is the reminder.

The remainder is 4

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