Question

Simplify this polynomial please!!

Answer 1

Here's the problem

Answer 2

Use FOIL

Answer 3

Simplifying
(z2 + 5z + 8)(z2 + 2z + 6) = 0

Reorder the terms:
(8 + 5z + z2)(z2 + 2z + 6) = 0

Reorder the terms:
(8 + 5z + z2)(6 + 2z + z2) = 0

Multiply (8 + 5z + z2) * (6 + 2z + z2)
(8(6 + 2z + z2) + 5z * (6 + 2z + z2) + z2(6 + 2z + z2)) = 0
((6 * 8 + 2z * 8 + z2 * 8) + 5z * (6 + 2z + z2) + z2(6 + 2z + z2)) = 0
((48 + 16z + 8z2) + 5z * (6 + 2z + z2) + z2(6 + 2z + z2)) = 0
(48 + 16z + 8z2 + (6 * 5z + 2z * 5z + z2 * 5z) + z2(6 + 2z + z2)) = 0
(48 + 16z + 8z2 + (30z + 10z2 + 5z3) + z2(6 + 2z + z2)) = 0
(48 + 16z + 8z2 + 30z + 10z2 + 5z3 + (6 * z2 + 2z * z2 + z2 * z2)) = 0
(48 + 16z + 8z2 + 30z + 10z2 + 5z3 + (6z2 + 2z3 + z4)) = 0

Reorder the terms:
(48 + 16z + 30z + 8z2 + 10z2 + 6z2 + 5z3 + 2z3 + z4) = 0

Combine like terms: 16z + 30z = 46z
(48 + 46z + 8z2 + 10z2 + 6z2 + 5z3 + 2z3 + z4) = 0

Combine like terms: 8z2 + 10z2 = 18z2
(48 + 46z + 18z2 + 6z2 + 5z3 + 2z3 + z4) = 0

Combine like terms: 18z2 + 6z2 = 24z2
(48 + 46z + 24z2 + 5z3 + 2z3 + z4) = 0

Combine like terms: 5z3 + 2z3 = 7z3
(48 + 46z + 24z2 + 7z3 + z4) = 0

Solving
48 + 46z + 24z2 + 7z3 + z4 = 0

Solving for variable 'z'.

The solution to this equation could not be determined.

Answer 4

You can use the distributive property twice, but for something like this, I prefer to draw out this rectangle