Answer:
(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12 (multiply the binomials)
(x + 2) (x + 3) = x² + 5x + 6 = 12
(x + 2) (x + 3) = x² + 5x + 6-12 = 0 (add the like term and bring the positive 12 to the other side which makes it negative)
x² + 5x + 6 = 0
Using the snowflake method - (finding the factors of 6 that adds/subtracts to give you 5).
This method will give you the factors (x + 6)(x - 1)
ZERO PROPERTY RULE:
(x + 6) = 0
x = -6
(x - 1) = 0
x = 1
The two solutions to the equation are -6 and 1.
Answer:
a) 
b) 
Step-by-step explanation:
<u>Part (a)</u>
Given polynomial :
The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable x is:
<u>Part (b)</u>
Given polynomial :
The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable y is:
Subsitute
y=x-8
since y=x-8, subsitute x-8 for y
2x+3(x-8)=1
distribute (a(b+c)=ab+ac)
3(x-8)=3x-24
2x+3x-24=1
combine like terms
5x-24=1
add 24 to both sides
5x=25
divide 5
x=5
subsitute
y=x-8
y=5-8
y=-3
x=5
y=-3 is solution
in (x,y) forom
(5,-3) is the solution
Answer: 24
Step-by-step explanation:
m - 15 + 15 = 9 + 15
m = 24
