The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
____________________________
8x - 40
(x - 5) * 8 = 8x - 40 Sutract
____________________________
0
Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)
Now, let's simplify x² - 6x + 8.
x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)
Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2
Step-by-step explanation:
Answer:
How can I help you?
Step-by-step explanation:
I will try my hardest and best to help you.
(p.s. I just saw your profile and most of the questions include pictures, on my end, it says that these pics are blocked. So, try asking the question without having to take a picture, instead, just type the question out. (and include the choices, if there are any))
Answer:
a, b and e
Step-by-step explanation:
Basically using distrabutive property the options distrabute to give the current expression due to signs.
Answer:
Step-by-step explanation:
To overestimate the area would mean that you completely enclose the circle in squares; an 8 x 8 square to b exact. The area of a square with sides measuring 8 is 64. The overestimation is 64.
To underestimate the area would mean that you only count the squares that are completely inside the circle. That would be a 6 x 6 square (even though the 6th squares are a tiny bit outside the circle). A square with sides of 6 has an area of 36. The underestimation is 36.