Hi there!
**Work pictured below**
Since x + 3 is one of the factors, set it equal to zero to find the root:
x + 3 = 0
x = -3
Use -3 in the synthetic division process to solve for the width.
Use the coefficients of 5x³ + 19x² + 6x - 18 to do synthetic division:
5, 19, 6, -18
To do synthetic division, arrange the numbers in the polynomial as shown with the root outside of the diagram.
1. Bring down the first number
2. Multiply by the root and add that number to the next number. Bring the sum down to the bottom.
3. Repeat until finished with all numbers. If a number is a perfect root, it will have a remainder of 0 at the last number.
In this instance, doing so produced the numbers 5, 4 and -6. There was also no remainder as the last number produced 0. Therefore, the width of the rectangle is:
5x² + 4x - 6 **First term is always one degree LESS than you started with**
Area = length x width
24 = (n-3) x 2
24 = 2n -6
2n = 30
n = 15
Length is 15-3 =12, width is 2
24 = 12 x 2
Answer:36
Step-by-step explanation: first I did
9÷5=1.80 per box.
so then I did 1.80 x 20 which = 36
<h3>
Answer: A) 4^9</h3>
The rule you use is
a^b * a^c = a^(b+c)
The base stays the same at 'a' the whole time. We add the exponents. If the bases were different on the left hand side, then we cannot use this rule.
In this case, a = 4, b = 6, c = 3.
4^6 * 4^3 = 4^(6+3) = 4^9