If it has a root at -3, we know that (x + 3) is a guaranteed root, because to a root from a factor, you simply set the expression inside the parentheses equal to zero and solve for x.
(x + 3) = 0
x = -3
We do the same thing but in vice versa to find the factor.
x = -3
x + 3
Thus, the factor is (x + 3)
The plane can travel 1530km in
hours.
No, because one x-value corresponds to two different y-values.
<h3>How to determine the true statement about the table?</h3>
The table of value is given as:
x 2 2 3 4 5
y 1 4 4 2 5
From the above table, we have:
When x = 2, y = 1 and 4
This means that 1 value of x points to multiple values of y
The above means that the table does not represent a function
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<h3>
Answers:</h3>
a) g(2) = -4
b) g(-4) = -22
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Work Shown:
For part a, we replace every x with 2 and simplify
g(x) = -x^2 + x - 2
g(x) = -(x)^2 + x - 2
g(2) = -(2)^2 + 2 - 2
g(2) = -4 + 2 - 2
g(2) = -2 - 2
g(2) = -4
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Part b is the same story, but with a different input this time
g(x) = -x^2 + x - 2
g(x) = -(x)^2 + x - 2
g(-4) = -(-4)^2 + (-4) - 2
g(-4) = -16 - 4 - 2
g(-4) = -20 - 2
g(-4) = -22