Questions: TTC Math Placement Question #1 of 80 Step 1 of 1 03:13:50 Factor the given polynomial by finding the greatest common monomial factor (or the negative of the greatest common monomial factor) and rewrite the expression: 49x^2 + 14x + 1 Answer: 2 Points

Solution Steps

To factor the given polynomial, we need to identify if there is a greatest common monomial factor (GCMF) among the terms. If there is no common factor other than 1, we can check if the polynomial can be factored into binomials. For a quadratic polynomial of the form \(ax^2 + bx + c\), we can use the quadratic formula or factoring by grouping if applicable.

We start with the polynomial \( 49x^2 + 14x + 1 \).

To factor the polynomial, we can recognize that it can be expressed as a perfect square. The polynomial can be rewritten as: \[ (7x + 1)^2 \]

Final Answer