Question

Plz help! Working with polynomial equations!

Answer 1

She forgot to include a coefficient.

Explanation:

`\begin{array}{rcll}(x + 4)(x + 2)(2x+ 1)(x - 2) & = &0 & \text{Correct}\\(x + 4)(2x + 1)(x^(2) - 4) & = &0 &\\(2x^(2) +9x + 4)(x^(2) -4) &= & 0 &\textbf{She forgot the 2 in (2x + 1)}\\2x^(4) +9x^(3) + 4x^(2) -4x^(2) -36x - 16 & = & 0 &\\2x^(4) +9x^(3) -36x - 16 & = & 0 &\\\end{array}`

Anna forgot to include the coefficient of x in (2x + 1) when she multiplied the two binomials.