The roots of the function f(x) = 5x³ + 5x² - 170x + 280 are given by x = 4, x = 2 or x = -7
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given that x + 7 is the root of 5x³ + 5x² - 170x + 280, hence:
(5x³ + 5x² - 170x + 280) / (x + 7) = 5x² - 30x - 40
Hence:
(5x³ + 5x² - 170x + 280) = (x + 7)(5x² - 30x - 40)
= 5(x² - 6x - 8)(x + 7)
= 5(x - 4)(x - 2)(x + 7)
The roots are at:
0 = 5(x - 4)(x - 2)(x + 7)
x = 4, x = 2 or x = -7
The roots of 5x³ + 5x² - 170x + 280 are x = 4, x = 2 or x = -7
Find out more on equation at: brainly.com/question/1214333
Answer:
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Step-by-step explanation:
Step-by-step explanation:
Since d is an decimal, the higher the power of d, the smaller the value.
Answer:
Step-by-step explanation:
The formula for the volume of a cylinder is V = πr²h.
Here, r = 5cm, and h = 15 cm, and so the volume is:
V = πr²h = π(5 cm)²(15 cm), or:
V = π(25 cm²)(15 cm) = 375π cm³, or approximately 1170 cm³
