Answer:
A, C, D
Step-by-step explanation:
One way to answer this question is to use synthetic division to find the remainder from division of the polynomial by (x-3). If the polynomial is written in Horner form, evaluating the polynomial for x=3 is substantially similar.
A(x) = ((x -2)x -4)x +3
A(3) = ((3 -2)3 -4)3 +3 = -3 +3 = 0 . . . . . has a factor of (x -3)
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B(x) = ((x +3)x -2)x -6
B(3) = ((3 +3)3 -2)3 -6 = (16)3 -6 = 42 . . . (x -3) is not a factor
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C(x) = (x -2)x^3 -27
C(3) = (3 -2)3^3 -27 = 0 . . . . . . . . . . . . . has a factor of (x -3)
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D(x) = (x^3 -20)x -21
D(3) = (3^3 -20)3 -21 = (7)3 -21 = 0 . . . . has a factor of (x -3)
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The polynomials of choice are A(x), C(x), and D(x).
Answer:
A. Add the endpoints
C. Divide -12 by 2
Step-by-step explanation:
To find the midpoint of the vertical line segment with endpoints (0, 0) and (0, -12).
Step 1: Add the endpoints (y-coordinates)
0+-12=-12
Step 2: Divide -12 by 2
-12/2=-6
Therefore, the y-coordinate of the midpoint of a vertical line segment is -6.
Options A and C are correct.
Answer:
Step-by-step explanation:
- (18u^2 - 142u - 11) ÷ (u - 8)
- 18u^2 - 142u - 11 =
- 18u^2 - 8*18u + 2u - 11 =
- 18u(u - 8) + 2u - 16 + 5 =
- 18u(u - 8) + 2(u - 8) + 5 =
- (18u + 2)(u - 8) + 5
- (18u^2 - 142u - 11) ÷ (u - 8) = 18u + 2 + 5/(u - 8)
well we know that we have 80mL and we also know that those 80mL will represent the "solute" or the 40% of the Tennessee whiskey total which we can say is 100%, so if 80 is the 40%, how much will it be for the 100% in mL?
Answer:
B. (2 + 5).
Step-by-step explanation:
18 + 45 = 63
The prime factors of 63 = 3*3*7
So 63 is a multiple of 7.
The answer is (2 + 5) (=7).
