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hjlf
3 years ago
15

Use the given root to find the remaining root of the function. Root: x = - 3 Function: f(x) = x ^ 2 + x - 6

Mathematics
1 answer:
ra1l [238]3 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

Since we know one root is -3, we know one factor of the equation is (x+3)

From there we can use the factor we know to factor the rest of the equation:

x^2 + x - 6 = (x+3) * ?

Since know -6 is just 3 * -2 and since 3-2 is 1,

(x+3)(x-2) = x^2 + x - 6

From there,

x - 2 = 0

x = 2

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Which of the following shows that polynomials are closed under addition when two polynomials 4x2 − 8x − 7 and −5x + 16 are added
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First we have to combine like terms. 4x² is one term. -8x is another term. -7 is another term. poly = "many" ⇒ polynomial = many terms

(4x² - 8x - 7) + (-5x + 16)

4x² - 8x - 7 - 5x + 16

Combine like terms.
Step 1: 4x² has no other terms with x² so it stays by itself.
Step 2: -8x and -5x are like terms because they both have x.
So -8x -5x = -13x (You put two negatives together)
Step 3: -7 and 16 don't have any x with them. -7 + 16 = 16 - 7 = 9

Now we put all the answers of the steps together.
Step 1: 4x²
Step 2: -13x
Step 3: 9

So the answer is 4x² - 13x +9
And it's a polynomial because there are three terms = "more than one term"

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4 years ago
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Answer:

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3 years ago
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Luba_88 [7]

Answer:

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Step-by-step explanation:

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Hello there!

Since there are 5 people that are not from his neighborhood, and 5 is 1/5 of 25, we get the fraction 1/5.

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