simplify the expression $\\frac{3}{4}x^2 + x + \\frac{3}{4} + x + x^2$.
simplify the expression $\\frac{3}{4}x^2 + x + \\frac{3}{4} + x + x^2$.
Answer
Explanation:
Step1: Identify and group like terms
Group terms with $x^2$, terms with $x$, and constant terms. $$(\frac{3}{4}x^2 + x^2) + (x + x) + \frac{3}{4}$$
Step2: Combine the quadratic terms
Add the coefficients of $x^2$, where $1 = \frac{4}{4}$. $$\frac{3}{4}x^2 + \frac{4}{4}x^2 = \frac{7}{4}x^2$$
Step3: Combine the linear terms
Add the coefficients of $x$. $$1x + 1x = 2x$$
Step4: Write the simplified expression
Combine all simplified parts into a single polynomial. $$\frac{7}{4}x^2 + 2x + \frac{3}{4}$$
Answer:
$\frac{7}{4}x^2 + 2x + \frac{3}{4}$