Answer: Choice B
(x-1)(x^3+x^2+5x+6)
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Explanation:
The 1 in the upper left box means that x = 1 is a root of the original polynomial.
So this means x-1 is a factor of the original polynomial.
This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.
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The 0 in the last position of the bottom row shows we got a remainder of 0.
Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.
The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6
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So we know that (x-1) and (x^3+x^2+5x+6) are factors
Meaning that,
x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)
You can confirm this by expanding out the right hand side (distribution rule).
Answer: C. 150 km²
<u>Step-by-step explanation:</u>
Use similar triangle proportion to find x:
Answer:
J - Janeta's age M - mother's age
A) (J-5) = .2 * (M-5)
B) J = (1/3) * M
Subtracting 5 from both sides of B:
B) J -5 = (1/3)M -5
then we substitute the right side of this into the left side of A and we get
(1/3)M -5 = .2 M -1
.333333333333M -5 = .2M -1
.1111111111111111111M = 4
Mother's Age = 36
Janeta's Age = 12
Step-by-step explanation:
This is called the Associative Property of Addition.
In short, associative property of addition states that the quantity of an additive expression is going to be the same no matter how the expression is grouped. In this case, it doesn't matter whether 6+3 is added first or 3+21 is added first because they will end up with the same quantity.
