**Answer:**

B

**Step-by-step explanation:**

**Answer:**

5x² +19x +76 +310/(x-4)

**Step-by-step explanation:**

The process is straightforward. Find the quotient term, multiply it by the divisor and subtract from the dividend to get the new dividend. Repeat until the dividend is a constant (lower-degree than the divisor).

The tricky part with this one is realizing that there is no x-term in the original dividend, so that term needs to be added with a 0 coefficient. The rather large remainder is also unexpected, but that's the way this problem unfolds.

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Unlike numerical long division, polynomial long division is simplified by the fact that the quotient term is the ratio of the highest-degree terms of the dividend and divisor. Here, the first quotient term is (5x^3)/(x) = 5x^2.

**Answer:**

Answer: 351/28

alternative form 12.53571428

**Step-by-step explanation:**

Answer:

4

Step-by-step explanation:

16

10×2 = 20

20-16=4

**Answer:**

(x - 1)² + (y - 4)² = 25

**Step-by-step explanation:**

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (1, 4), so

(x - 1)² + (y - 4)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 8)

r =

= = = = 5

Hence

(x - 1)² + (y - 4)² = 5², that is

(x - 1)² + (y - 4)² = 25 ← equation of circle