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3 years ago

When this polynomial is divided by (x+3) , the remainder is 0. What is the value of the polynomial’s constant term.

Mathematics

2 answers:

saveliy_v [14]3 years ago

5 0

Answer:

- 15

Step-by-step explanation:

Given f(x) divided by (x + h) then the remainder is the value of f(- h)

Here

f(x) = 3x³ - 5x² - 47x + k ← k is the constant term , then

f(- 3) = 3(- 3)³ - 5(- 3)² - 47(- 3) + k = 0 , that is

3(- 27) - 5(9) + 141 + k = 0

- 81 - 45 + 141 + k = 0

15 + k = 0 ( subtract 15 from both sides )

k = - 15

Marat540 [252]3 years ago

5 0

Answer: The missing value is -15 (negative 15)

Step-by-step explanation: Well start off with long division and see how far you get before you run into the constant term you're looking for. The answer entirely is 3x^2 -14x -5 when solved and ensuring there is no remainder that follows after

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Step-by-step explanation:

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4 years ago

Quick brain for first and 5 stars What steps should be taken to calculate the volume of the right triangular prism? Select three

Ierofanga [76]

Answer:

- Use the formula A = one-half b h to find the area of the base.

- The area of the base, A, is One-half (8) (14) = 56 meters squared.

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Step-by-step explanation:

To find the volume of right triangular prism, the following steps should be followed:

The formula bfor calculating the volume = Base Area × Height.

Step 1:

- Use the formula A = one-half b h to find the area of the base.

This formula of a triangle bus used because the base of a triangular prism is triangular in nature.

b is the base of the triangle

h is the height of the triangle

Step 2:

Given base if triangle = 8m

Height of triangle = 14m

We substitute this values into the formula of the base area to have the second step:

Base area = 1/2(8)(14) = 56m²

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Step 3:

Then we calculate the volume if the prism where height of the prism is 8m

volume of the prism = 56 × 7

= 392m³.

This gives us the final step

- The volume of the prism, V is (56) (7) = 392 meters cubed

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4 years ago

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