# [Week 6]-Developing and applying the quadratic formula

[Week 6]-Developing and applying the quadratic formula
What I have learned:
Solving quadratic equations by determining square roots.
Solving by completing the square when a=1.
Solving by completing the square when a≠1.
Solving a problem using a quadratic equation.
Solving a quadratic equation of the form $x^2+bx+c=0$.
Solving a quadratic equation of the form $ax^2+bx+c=0$.
Using the quadratic formula to solve a problem.

Ex. Solve equation. Verify the solution.
$2x^2-1=5$
$2x^2-1=5 Isolate the x^2-term.$
$2x^2=6 Divide each side by 2$
$x^2=3$ Take the square root of each side.
X= ±√3
To verify, substitute each root in the given equation $2x^2-1=5$ .
For x=√3,
$L.S.= 2(√3)^2-1$
=5

For x=-√3,

\$ latex L.S.=  2(-√3)^2-1 \$

=5
For each root, the left side is equal to the right side, so the solution is verified.

# [Week 5]- Factoring Polynomial Expressions

[Week 5]- Factoring Polynomial Expressions
What I have learn:
Determining whether a given binomial is a factor of a given trinominal.
Factoring trinomials with rational coefficients
Factoring using a trinomial pattern.
Factoring using the difference of squares pattern.

Ex. Is d-4 a factor of each trinomial? Justify the answer.
2d^2+6d-56
Use logical reasoning.
If d-4 is a factor, then trinomial can be written as: