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2 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]2 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]2 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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