Answer:
6 ft
Step-by-step explanation:
As we know that, the arch meet the ground are the value of x when y = 0
y=−0.9(x+3)(x−3)
<=> 0 = −0.9(x+3)(x−3)
<=> x=3 or x=-3
So we have 2 coordinates: (3, 0) and (-3,0) and the distance between them is:
3 -(-3) = 6
=> The width of the arch at ground level is 6 ft
The polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0
<h3>Dividing polynomials</h3>From the question, we are to divide the given polynomial P(x) by the divisor d(x)
From the given information,
P(x) = x³ + 8
d(x) = x + 2
The division operation is shown in the attachment below.
The quotient, Q(x) = x² -2x + 4
and the remainder, R(x) = 0
We area to express P(x) in the form
P(x) = d(x).Q(x) + R(x)
Thus, we get
x³ + 8 = (x+2)(x² -2x + 4) + 0
Hence, the polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0
Learn more on Dividing polynomials here: brainly.com/question/27601809
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