What are the factors of x2 – 4x – 5? Check all that apply.x – 5x – 2x – 1x + 1x + 2x + 5
What did you include in your response? Check all that apply.
Identify the values that should be written to complete the X diagram.On the top: On the bottom: On the sides: Rewrite the expression using the numbers on the sides of the X diagram. Use double grouping to factor the four terms.x2 – 3x – 28 =
Complete the equation to show two equivalent expressions.
What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
What is the four-term polynomial and factored form of the polynomial?
Which statement is true of x2 + 8x – 6?
The trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. What is the relationship between the values of m and n? Explain.
Since the trinomial is $x^2 + bx - c$ and its factors are $(x + m)(x - n)$, we know that $m + (-n) = b$ and $m(-n) = -c$. Because $b$ is positive, the sum of $m$ and $-n$ must be positive. This means the positive value, $m$, must have a greater absolute value than the negative value, $n$. Therefore, $m$ must be greater than $n$.
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