So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: 
Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: 
Now you can rewrite this as 
, however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is 
. Applying that here, we have 
. x^4 + 5x^2 - 36 is completely factored.
Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: 
Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: 
Now you can rewrite the equation as 
. 2x^2 + 9x - 5 is completely factored.
<h3><u>Putting it all together, your factored expression is
</u></h3>
83 hope it helps get a good grade
Answer:
$693
Step-by-step explanation:
Catherine invested a principal of $1,650 in her bank account with;
interest rate of 3.1%
How much interest did she earn in 14 years?
To find the amount accumulated in the 14 years, we use the formula:
A = P(1 + rt)
Where A is the amount accumulated, P is the principal, r is the interest rate and t is the time.
A = $1650(1 + 
(14))
A = $1650 + $693 = $2343
Interest = Amount (A) - Principal (P) = $2343 - $1650 = $693
Answer:
4
Step-by-step explanation:
- To be perpendicular, the product of the slope is -1.
- (x,y) Substituting the coordinates.
- y= 1/3(x+3) + 1
- y= 1/3x +2
The answer for this question is
: 125
Hope this helps
