Solve 3(1)^3+1/2(1)^2+1

$$3 ( 1 ) ^ { 3 } + \frac { 1 } { 2 } ( 1 ) ^ { 2 } + 1$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Calculate 1 to the power of 3 and get 1.

$$3\times 1+\frac{1}{2}\times 1^{2}+1$$

Multiply 3 and 1 to get 3.

$$3+\frac{1}{2}\times 1^{2}+1$$

Calculate 1 to the power of 2 and get 1.

$$3+\frac{1}{2}\times 1+1$$

Multiply \frac{1}{2} and 1 to get \frac{1}{2}.

$$3+\frac{1}{2}+1$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{6}{2}+\frac{1}{2}+1$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{2}+1$$

Add 6 and 1 to get 7.

$$\frac{7}{2}+1$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{7}{2}+\frac{2}{2}$$

Since \frac{7}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$\frac{7+2}{2}$$

Add 7 and 2 to get 9.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$