-13 because it’s Can’t be a negative number
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in all- 14 pens
<span> Use the rational root theorem to find the possible rational roots. The rational roots theorem says that possible rational roots are +/- factors the constant term (36 here) divided by factors of the leading coefficient (1 here). Possible rational roots are
+/- 1, 2, 3, 4, 9, 12, 18, 36
Test each zero using the rational root test. To do this, use synthetic division to test the roots. I won't show the work here, but the roots that work are -2 and -3. As factors, this is x+2 and x+3.
From the synthetic division, we have x^2-4x+6 left over, which is irreducible.
In factored form:
f(x) = (x+2)(x+3)(x^-4x+6)
You could also use a graphing calculator to find the roots and work backwards to get the factored form too. A TI-89 Titanium would factor the polynomial and give you the above answer.</span>
The area of a rectangle is <em>L x W</em>. We have to get the value of x first so that we can find the area of the rectangle.
To get the value of x
given:
<span>a. 12 & X
b. X-2 & 16 </span>
solution:
12x (x) = (8-2 ) 16
12x = 16x-32
32 = 16x-- 12x
<u>32 </u> = <u>4x</u>
4 4
8 = x
Checking:
a. 12 & X b. X-2 & 16
Area of a rectangle = L x W Area of a rectangle = L x W
=12 x 8 = (8-2) 16
Area of a rectangle = 96 = 6 (16)
Area of a rectangle = 96
6.4u-5.1u=-3.25
1.3u= -3.25
u= -2.5
