Final Answer
$\frac{23}{16}+4\left(x+\frac{5}{8}\right)^2$
Got another answer? Verify it here!
Step-by-step Solution
Specify the solving method
1
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($4$) to all terms
$4\left(x^2+\frac{5}{4}x+\frac{3}{4}\right)$
Learn how to solve polynomial factorization problems step by step online.
$4\left(x^2+\frac{5}{4}x+\frac{3}{4}\right)$
Learn how to solve polynomial factorization problems step by step online. Factor the expression 4x^2+5x+3. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (4) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{5}{4}xx+\frac{25}{64}. Subtract the values \frac{3}{4} and -\frac{25}{64}.
Final Answer
$\frac{23}{16}+4\left(x+\frac{5}{8}\right)^2$