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3. the square of a negative integer is represented by the polynomial
4x² - 52x + 169.


a. what is the binomial that expresses the negative integer?


b. what is the negative integer if x = 4?​


Sagot :

Answer:

[tex]\color{skyblue}\mathbb{ \underline{SOLUTION:}} \\ (2x - 13) ²[/tex]

Step-by-step explanation:

Sum Product pattern

4x²-52x + 169

4x²-26x-26x + 169

Common factor

4x² -26x26x + 169

2x(2x 13) 13(2x - 13)

Rewrite in factored form

2x(2x13) 13(2x - 13)

(2x13)(2x - 13)

Combine to a square

(2x - 13)(2x - 13)

(2x - 13)²