Question

Factor the trinomial. $$4 x^{2}+28 x+49$$

Short answer

The factorized form of the trinomial \(4x^2 + 28x + 49\) is \((2x + 7)^2\).

Step-by-step solution

Identify a, b, and c

Here the trinomial is \(4x^2 + 28x + 49\). From this, \(a = 4\), \(b = 28\), and \(c = 49\).

Factorize the trinomial

The trinomial can be factorized as \((\sqrt{4}x + \sqrt{49})^2\).

Simplify the result

By simplifying the expression we get \((2x + 7)^2\).