# Math Help - 8 algebra 2 questions

1. ## 8 algebra 2 questions

hey if you can solve one or all of them it will be much appreciated. Please show all work. thanks!

(^2=squared)

solve:

1: 5x^2+x=-3

2: 4(x-2)^2=20

Factor:

3: 9x^2+15x-36

write as a complex number in standard form:

4: 1+3i/3+4i

complete the square:

5: x^2-8x+4=0

find the absolute value:

6: (2-3i)

7: write a quadratic function in vertex form, whose graph has the given vertex and passes through the given point:

vertex: (-6,-7) point (0,-6)

8: write a quadratic function in intercept form whose graph has the given x-intercepts and passes through the given point:

x-int: (-2,7) points (8,18)

these problems are for a take home quiz and i want to make sure i did them 100% correctly.

2. Number 1 and 2 : don't you know how to solve a quadratic
$x = \frac{-b \pm \sqrt(b^2 - 4ac)}{2a}$ when
$0 = a\cdot x^2 + b\cdot x + c$
Use this formula to factor degree two polynomials (#3)