Frank is trying to factor y^2+6y-27 . He has determined that one factor is (y + 9). What is the other factor? A. y – 27 B. y – 6
2 answers:
Identify b and c in the equation:
b = 6
c = -27
Two factors must add to b, and two factors must multiply to c.
We know that one of the factors is 9, so we can set up the following equations to solve for the missing factor:
Subtract 9 from both sides:
-
Divide both sides by 9 to get y by itself:
The other factor is D. (y - 3).
b = 6
c = -27
Two factors must add to b, and two factors must multiply to c.
We know that one of the factors is 9, so we can set up the following equations to solve for the missing factor:
Subtract 9 from both sides:
-
Divide both sides by 9 to get y by itself:
The other factor is D. (y - 3).
You might be interested in
Answer:
Step-by-step explanation:
we want to figure out the general term of the following recurrence relation
we are given a linear homogeneous recurrence relation which degree is 2. In order to find the general term ,we need to make it a characteristic equation i.e
the steps for solving a linear homogeneous recurrence relation are as follows:
- Create the characteristic equation by moving every term to the left-hand side, set equal to zero.
- Solve the polynomial by factoring or the quadratic formula.
- Determine the form for each solution: distinct roots, repeated roots, or complex roots.
- Use initial conditions to find coefficients using systems of equations or matrices.
Step-1:Create the characteristic equation
Step-2:Solve the polynomial by factoring
factor the quadratic:
solve for x:
Step-3:Determine the form for each solution
since we've two distinct roots,we'd utilize the following formula:
so substitute the roots we got:
Step-4:Use initial conditions to find coefficients using systems of equations
create the system of equation:
solve the system of equation which yields:
finally substitute:
and we're done!