Answer: D.
Step-by-step explanation: First you find the common factor, which is 5x³y. Then you write in parenthesis what's left over from each term. So the answer should look like: 5x³y(-3x⁵-4z+9).
The factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)
<h3>
What is a factor?</h3>
A factor is a number that completely divides another number.
In other words, since the result may be divided by the two whole numbers we are multiplying, they are factors of the result if multiplying two whole numbers produces a result.
The numbers that can divide a number exactly are called factors.
There is none left over after division as a result.
The numbers you multiply together to produce another number are called factors.
A factor is hence the division of another number.
So, we have the expression: x³-5x²-2x+24
Now, calculate the factors as follows:
x³-5x²-2x+24
We already know that: P(-2) = 0
Hence, x+2 is a factor.
Now, other factors are: x² - 7x + 12
x² + 4x + 3x + 12
(x - 3)(x - 4)
Therefore, the factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)
Know more about the factors here:
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Correct question:
What is the factor of x³-5x²-2x+24?
Answer:
x = 
Step-by-step explanation:
Given
x + 
= 
Multiply through by 80 ( the LCM of 20 and 16 ) to clear the fractions
80x + 36 = 45 ( subtract 36 from both sides )
80x = 9 ( divide both sides by 80 )
x =
Answer:
Circumference = 10π
Step-by-step explanation:
First identify the circumference formula as such:
2πr (where r ⇒ radius, π ⇒ pi)
Knowing 2 times the radius (2r) in the formula can be rewritten as the diameter, the formula itself can be rewritten as:
πd (where d ⇒ diameter, π ⇒ pi)
If we know the diameter = 10 inches, substitute in the circumference formula πd to get:
π * 10 inches = 10 * π inches = 10π inches
