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BigorU [14]
3 years ago
6

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Mathematics
1 answer:
Tom [10]3 years ago
4 0
<h3>Answer:   D)  x+6</h3>

==========================================================

Explanation:

The x intercepts (aka roots) are where the graph crosses or touches the x axis. These locations directly correspond to help set up the factors.

The root x = -6 shows that x+6 is a factor.

Effectively, we add 6 to both sides so that we go from x = -6 to x+6 = 0.

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In order to solve for the dimensions, you will need to set up two equations in order to solve for the missing variable.  Given the information that the length is 5 cm less then twice it's width, using 'L' for length and 'w' for width we get the following equation:  L = 2w - 5.  Perimeter is the sum of all the sides, or in the case of a rectangle P = 2w + 2L.  We can then use our expression for 'L' in our perimeter formula:  26 = 2w + 2(2w - 5).  First, using the distributive property we get: 26 = 2w + 4w - 10.  Next, we combine like terms:  26 = 6w - 10.  Then, we use inverse operations to isolate the variable:  26 + 10 = 6w - 10 + 10 to get 36 = 6w, divide both sides by 6 to get w = 6.  Lastly, plug in the value of 'w' to 'L':  L = 2(6) - 5 or L = 7.

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