Find the remainder when f(x) is divided by (x – k). f(x) = 7×4 + 12×3 + 6×2 – 5x + 16; k = 3

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Find the remainder when f(x) is divided by (x – k). f(x) = 7×4 + 12×3 + 6×2 – 5x + 16; k = 3

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946

Step by step explanation:

To get the rest while dividing a polarizer with x-3, you could plug 3 into that polarizer.

If you divided by x + 3, the rest would be just the polynomial evaluated at x = -3.

Anyway plugging in 3

7 (3) ^ 4 + 12 (3) ^ 3 + 6 (3) ^ 2 – 5 (3) + 16

Enter this into your nearest calculator.

Output should be 946.

You could use a synthetic or even long section.

Synthetic Division.

We put 3 on the outside because we are dividing on x-3.

3. | 7. 12. 6. -5. 16

| 21. 99. 315. 930

7. 33. 105. 310. 946

The remainder is the last number in the last column.

The plug-in and synthetic section will always work when splitting with a linear expression.