Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
Answer:
Base area of box = 
Step-by-step explanation:
Base area of a rectangular box is a rectangle
Area of a rectangle (base area)= length times width
Base area = 
Multiply x inside the parenthesis
Base area of box = 
Answer:
Step-by-step explanation:
We have an extremely large equation and are asked to divide it, so let's solve it step-by-step :
Remove the parenthesis to make it easier to read :
Multiply the numerators :
Multiply the denominators :
Apply the negative rule :
Cancel the common factor which is 18 :
Apply the addition exponent rule :
Subtract :
Apply the rule for y :
Subtract :
Cancel the common factor of z^3 :
Answer:
x = 31
Step-by-step explanation:
The 2 sides are congruent, meaning the 2 angles are equal so:
47 = x + 16
subtract 16 from both sides
31 = x
Answer:
answer = 21
Step-by-step explanation:
2n - 2 = 40
2n - 2 + 2 = 40 + 2
2n = 42
2n/2 = 42/2
n = 21
