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pav-90 [236]
3 years ago
9

A polynomial function has a zero at x=3 which of the follwing expressions must be one factor of the polynomial. A. x + 3 b. 3x C

. x^3 D. x - 3 but could you explain how to do it so i can do it on my own! ...?
Mathematics
2 answers:
nexus9112 [7]3 years ago
5 0
I think the correct answer from the choices listed above is option D. A polynomial function has a zero value at x=3 for the <span>expression where one factor is x-3. This factor when x=3 will always result to a zero value no matter what you multiply to it. Hope this answers the question.</span>
r-ruslan [8.4K]3 years ago
5 0

Answer:  The correct option is (D) (x - 3).

Step-by-step explanation:  Given that a polynomial function has a zero at x = 3.

We are to select the correct expression that must be a factor of the polynomial.

<em><u>FACTOR THEOREM :  </u></em> The theorem states that if x = a is a zero of a polynomial p(x), then (x - a) will be a factor of the polynomial p(x).

In case of our given polynomial, since x = 3 is a zero of the polynomial, so by factor theorem, we can say that

(x - 3) is a factor of the given polynomial.

Thus, the required factor is (x - 3).

Option (D) is CORRECT.

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Solve system of equations <br><br> 3x+6y=3 <br> X+2y=1
pav-90 [236]

Answer:

has infinite solution

Step-by-step explanation:

(x,y)=(1-2a,a) where a is an element of any real number

7 0
2 years ago
Please help with this
3241004551 [841]
It’s would be (b) step by step
5 0
3 years ago
Kelly inherits land which had a basis to the decedent of $95,000 and a fair market value of $50,000 on August 4, 2018, the date
Degger [83]

Answer:

The correct option is;

Her recognized <u>loss </u>is ($1,000)

Step-by-step explanation:

The given information are;

The basis of the land to the decedent = $95,000

The land's market value on 4th of August 2018 when the decedent died  = $50,000

The alternate valuation date = 6 months + The date of death of the decedent = 4th February, 2019

The value filed by the executor on the tax return using the alternate valuation date = The market value of the estate on 4th of February 2019

The market value of the land on 4th of February 2019 = $45,000

∴ The value filed by the executor on the tax return using the alternate valuation date = $45,000

The value of the land on November 12, 2018 when the executor distributed the land to Kelly = $49,000

The value at which Kelly sells the land on June 10, 2019 = $48,000

Given that, recognized gain is the profit made from selling an asset based on the value of the asset when it was obtained, we have;

Kelly's recognized gain or loss = (The value at which Kelly sells the land) - (The value of the land when the executor distributed the land to Kelly)

Kelly's recognized gain or loss = $48,000 - $49,000 = -$1,000 = ($1,000)

Therefore, Kelly's recognized loss = ($1,000).

6 0
3 years ago
PLEASE PLEASE HELP!!! Figure 1 is dilated to get figure 2. What is the scale factor? Figure 1 is the smaller figure and has a 6
Xelga [282]
The answer is 1.5

Hope this helps!!
6 0
3 years ago
F(x) = 17 - 2x<br> Find f(a + 7)
Fudgin [204]

Answer:

-2a + 3

Step-by-step explanation:

We can substitute a + 7 for x:

f(a + 7) = 17 - 2(a+7) = 17 - 2a - 14 = -2a + 3

4 0
3 years ago
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