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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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Answer:  see below

<u>Step-by-step explanation:</u>

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6 0
2 years ago
When x2+3x-4 is subtracted from x (x2+3x-2) what is the difference
tankabanditka [31]
I'm assuming this is x^2 + 3x - 4 and x(x^2 + 3x - 2)

1.) First distribute x(x^2 + 3x - 2) to get x^3 + 3x^2 - 2x.

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3.) -1(x^2 + 3x - 4) = -x^2 - 3x + 4

4.) Add (x^3 + 3x^2 - 2x) + (-x^2 - 3x + 4)

5.) x^3 + 2x^2 - 5x + 4 is your final answer.

5 0
3 years ago
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Does it matter if you add azero when you divide a dcimal.
Brilliant_brown [7]
No, it won't change the outcome.
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3 years ago
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The angle bisector of ∠ACD in rhombus ABCD makes a 64° angle with the diagonal BD. Find the measure of ∠BAD.
saveliy_v [14]
The complete question in the attached figure

we know that
the diagonals of a rhombus intersect to form right angles, 
so
angle ACE is ----------> (90°-64°)-----------> 26° 
ACE is the angle bisector of ACD, this means that ACD is ---------> 26 x 2 = 52°

 The diagonals are angle bisectors to the opposite corners
so 
ACD = ACB = 52° 
and 
BCD = 52 x 2 = 104°
For a rhombus, opposite angles are equivalent,
so 
BAD = BCD = 104°

the answer is 
angle BAD=104°

3 0
3 years ago
A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too h
Marat540 [252]

Answer:

P value is 0.1932

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Step-by-step explanation:

Given data

registered organ donors P  = 40%

sample n = 200

registered organ donors x = 74

hypothesis test α = 0.05

to find out

P-value and state a conclusion

solution

we take a trail p less than 40 % i.e 0.40

so p = x/n

p = 74 / 200 = 0.37

so we find here Z value  i.e

Z = p - P / √(PQ/n)

here Q = 1-p = 1-0.40 = 0.60

so Z = 0.37 - 0.40 / √(0.40×0.60/200)

Z = - 0.866

so p value for Z (-0.866) from z table

P value is 0.1932

and conclusion is that find value P greater than hypothesis test at the 0.05 level

6 0
3 years ago
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