10.3 Homework Problems: Solving for Roots in Quadratic Equations

1. Solve the following equations by factoring

a. 3x² = 6x

b. x² – 8x + 16 =0

c. 4x² – 4x = 24

d. (x + 5)² = 36

e. 3x(x – 1) = 2(5 – x)

f. [latex]\frac{2x^2}{15}\ -\ \frac{x}{3}\ =\ -\frac{1}{5}[/latex]

g. 8x² + 32 = 32x

h. (x + 4)(x –1) = 6

i. x(x+9) = 6(x+3)

j. 3x(x+3) = 2(2x –1)

2. Write a polynomial equation that will fit the given solutions

1. x = 2, 3
2. y = -5, [latex]-\ \frac{1}{2}[/latex]
3. x = [latex]-\ \frac{2}{3}\ ,\ \frac{1}{6}[/latex]
4. x = 0, 3, 1

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