How would you factor 2x squared plus 72?

Answer 1

2x^(2) + 72

Factors to

2( x^(2) + 36)

s(x^(2) + 6^(2)) Does NOT factor.

NB

Remember . two squared terms with a positive(+) between them does NOT factor!!!!

However, two squared terms with a negative(-) between DOES factor .

e.g. x^(2) + 6^(2) Does NOT factor

x^(2) - 6^(2) factors to ( x - 6)( x + 6 ) Note the different signs.

Similarly

8^(2) + 6^(2) does NOT factor

8^(2) - 6^(2) factors to (8 - 6)(8 + 6)

Or using the ~Pythagorean Equation.

h^(2) = a^(2) + b^(2) Does NOT factors

However,

a^(2) = h^(2) - b^(2) factors to a^(2) = (h - b)(h + b) .

Answer 2

x sq equalls 36 and x equalls plus or minus 6