The given expression can be written as
= (q+8)(q+4).
Step-by-step explanation:
Given,

To make it a complete square.
Formula
(a+b)² = 

Now,

= 
= (q+6)²-36+32
= (q+6)²-4
= (q+6)²-2²
= (q+6+2)(q+6-2)
= (q+8)(q+4)
Answer:
Step-by-step explanation:
If you need to do this by graphing, you need to change the format of each equation into slope intersect form
start with 3x-2y=-24
-2y=-3x-24
y=-3/2x+12
To graph this, the y intersect (where it crosses the y axis) is 12 and from there the slope is -3/2
For the next equation,
-3x-y=6
-y=3x+6
y=-3x-6
So the y intersect is -6 and the slope is -3.
Once you graph both of these, the point where both lines cross AKA the intersecion is the solution to the problem.
Answer:
Step-by-step explanation:
1.2 divide numerator by denominator
Answer:
B=17
A=16
Step-by-step explanation:
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The factors of polynomial are (x-1) and (x+3)
Step-by-step explanation:
If (x+9) is a factor of P(x)= x³+11x²+15x-27 then the P(x) must be completely divisible by (x+9)
After finding the polynomial, we need to factorise the polynomial by utilising the quadratic equation.
All the process has been described in image attached-
S₁, S₂, S₃ represents various steps involved in solving the problem.
It is found that (x+9) is a factor of x³+11x²+15x-27
The polynomial found after dividing x³+11x²+15x-27 by (x+9) is x²+2x-3
Which can be further factorised by quadratic rule into the factors as (x-1) and (x+3)
Hence the factors are (x-1) and (x+3)