Type the correct answer in each box. Use numerals instead of words.

Complete the area model representing the polynomial [tex]$x^2 - 11x + 28$[/tex]. What is the factored form of the polynomial? Use the model to rewrite the expression.

[tex]
(x + \square)(\square - 7)
[/tex]



Answer :

To factor the polynomial [tex]\(x^2 - 11x + 28\)[/tex], we need to find two numbers that multiply to 28 (the constant term) and add to -11 (the coefficient of the [tex]\(x\)[/tex] term).

Through our calculations, we determine that the two numbers that satisfy these conditions are -4 and -7.

Thus, the polynomial [tex]\(x^2 - 11x + 28\)[/tex] can be factored as:
[tex]\[ (x - 4)(x - 7) \][/tex]

Now, plugging in the correct values into the provided empty boxes, we get:

[tex]\[ (x - 4)(x - 7) \][/tex]

Therefore, the complete factored form using the given model is:
[tex]\[ (x - 4)(x - 7) \][/tex]

Hence, the final answer is:
[tex]\[ (x - 4)(x - 7) \][/tex]