The solution of the given equation exists zero as x − 5 is the factor of x³ − 4x² − 9x + 20.
<h3>What is meant by the factor of a equation?</h3>
The multiplied numbers that make up a specific number are said to be that number's factors. A factor, also referred to as a divisor, is a whole number that can be multiplied by another whole number to get another whole number.
A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product because the product is divisible by them.
Let the equation be x³ − 4x² − 9x + 20.
The prime factors of an algebraic expression or number are those that are x³ − 4x² − 9x + 20.
Putting the value of x in the equation
x - 5 = 0
x = 5
putting the value of x in the equation, we get
⇒ 5³ − 4 × 5² − 9 × 5 + 20.
simplifying the above equation, we get
⇒ 125 - 4 × 25 - 45 + 20
⇒ 125 - 100 - 45 + 20
⇒ 125 - 145 + 20
⇒ 145 - 145 = 0
Therefore, the solution of the given equation exists zero as x − 5 is the factor of x³ − 4x² − 9x + 20.
To learn more about factors, refer to
brainly.com/question/25829061
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