Questions: 25x^2+110x+40

Transcript text: 25 x^{2}+110 x+40

Solution

Step 1: Factor the Polynomial

We start with the polynomial \( 25x^{2} + 110x + 40 \). Our goal is to factor this trinomial into a product of binomials.

Step 2: Identify the Factorization

The polynomial can be factored as follows: \[ 25x^{2} + 110x + 40 = 5 \left(x + 4\right) \left(5x + 2\right) \]

The fully factorized form of the polynomial is: \[ \boxed{5 \left(x + 4\right) \left(5x + 2\right)} \]

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