Add 14 x2 23 x 12 23 x2 13 x 16 The sum is Simplify your

Add. 1/4 x^2 + 2/3 x + 1/2 2/3 x^2 - 1/3 x + 1/6 The sum is. (Simplify your answer. Type coefficients as integers or fractions.)

Solution

(1_/4)x²+(2_/3)x+(1_/2)

+

(2_/3)x²-(1_/3)x+(1_/6)

=

((1_/4)+(2_/3))x²+((2_/3)-(1_/3))x+((1_/2)+(1_/6))

=

((3+8)_/12)x²+((2-1)_/3)x+((3+1)_/6)

=

(11_/12)x²+(1_/3)x+(4_/6)

=

(11_/12)x²+(1_/3)x+(2_/3)