Question

type the correct answer in each box. use numerals instead of words. complete the area model representing the polynomial x^2 - 11x + 28. what is the factored form of the polynomial? use the model to rewrite the

Explanation:

Step1: Find two numbers for factoring

We need two numbers that multiply to 28 and add up to 11. The numbers are 4 and 7. Since the middle - term is negative and the constant term is positive, the two numbers are - 4 and - 7.

Step2: Complete the area - model

The top - right box is $x\times(-7)=-7x$. The bottom - left box: since one factor of $-4x$ is $x$, the other side length is - 4. The bottom - right box is $(-4)\times(-7) = 28$.

Step3: Write the factored form

The factored form of the polynomial $x^{2}-11x + 28$ is $(x - 4)(x - 7)$.

Answer:

Top - right box: $-7x$; Bottom - left box: $-4$; Bottom - right box: $28$; Factored form: $(x - 4)(x - 7)$