CPM Homework Help : A2C Problem 9-171

Hint (a):

Treat this as a difference of squares.

Answer (a):

$(x+\sqrt{10})(x-\sqrt{10})$

Hint (b):

Use the Quadratic Formula, then use those answers as factors.

Answer (b):

$\left(x-\frac{3+\sqrt{37}}{2}\right)\left(x-\frac{3-\sqrt{37}}{2}\right)$

Hint (c):

Using complex numbers, this can be treated as a difference of squares.

More Help (c):

x² + 4 = x² − (−4)

Answer (c):

(x + 2i)(x − 2i)

Hint (d):

See part (b).