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sammy [17]
3 years ago
13

A polynomial function has a zeros at -1,2,7 and all are multiplicity of 1 write a function in standard form that could represent

this function
Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0

Answer:

x^3 + 6x^2 - 9x - 14

Step-by-step explanation:

The zeros of a polynomial are the solutions to its factors. When the factors are set equal to 0, the zeros are the result. To write the equation, use the zeros to reverse the process to find the factors which multiply to make the equation.

x = -1 results from the factor x + 1 = 0

x = 2 results from the factor x - 2 = 0

x = 7 results from the factor x - 7 = 0

Since all zeros have multiplicity of 1, this means there is no exponent on the factored expressions. So the equation of the polynomial is (x+1)(x-2)(x-7).

Multiply the factors using the distributive property to find the equation in standard form.

(x+1)(x-2)(x-7)

(x^2 + 1x -2x - 2)(x+7)

(x^2 - x - 2)(x+7)

x^3 - x^2 - 2x + 7x^2 - 7x - 14

x^3 + 6x^2 - 9x - 14

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Gemiola [76]
Ratios are like fractions in the way that you can simplify them if they have common factors.
we can simplify this ratio to 
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that means that the bigger part got 3 times the amount of the smaller part. The problem says that Evan got the smaller amount, so if we multiply the smaller amount by 3 we should and will get the bigger amount. It says that $420 is the smaller part.
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2 years ago
Which graph shows y &lt; x² +1?<br> O<br> 4) Intro<br> •
Ket [755]

The graph at option 1 shows the given inequality y < x² + 1. The domain and range of the given inequality is {x: x ∈ (-∞, ∞)} and {y: y ∈ [1, ∞)}.

<h3>How to graph an inequality?</h3>

The steps to graph an inequality equation are:

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<h3>Calculation:</h3>

The given inequality is y < x² + 1

Finding points to graph the boundary line by taking y = x² + 1:

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y = (-2)² + 1 = 4 + 1 = 5

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When x = -1,

y = (-1)² + 1 = 2

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When x = 0,

y = (0)² + 1 = 1

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When x = 1,

y = (1)² + 1 = 2

⇒ (1, 2)

When x = 2,

y = (2)² + 1 = 5

⇒ (2, 5)

Plotting these points in the graph forms an upward-facing parabola.

So, all the points above the vertex of the parabola satisfy the given inequality. Thus, that part is shaded.

From this, the graph at option 1 is the required graph for the inequality y < x² + 1. The boundary line is dashed since the inequality symbol is " < ".

Learn more about graphing inequalities here:

brainly.com/question/371134

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5 0
2 years ago
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Which expression shows 0.95 in expanded form?
raketka [301]
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4 0
2 years ago
For f(x)=4x+1 and g(x) = x2-5, find (f+g)(x)<br> A. x2+4x-4 B. x2+4x+6 C. 4x2-19 D. 4x3-4
makvit [3.9K]

Answer:

A

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(f + g)(x) = f(x) + g(x) , thus

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3 years ago
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den301095 [7]
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3.hourly rate of $11.28 per hour worked 46 hours last week. She works overtime for hours exceeding 40 hours in a week. She is paid overtime at a rate of time and a half. What was her gross pay last week?

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answer: her gross pay last week was $552.72

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answer: percent of the meal cost was the tip was 12.5%

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5 0
3 years ago
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