The difference of squares is a term used in algebra to describe the difference between two square numbers. It is represented by the formula a² - b² = (a+b)(a-b).

In the given polynomial x² + ?x - 36, we want to find the value of ? that will make the polynomial a difference of squares.

A difference of squares can be rewritten in the form (a+b)(a-b). So, we want to rewrite x² + ?x - 36 in this form.

We know that (a+b)(a-b) = a² - b². So, we can say that x² - 36 is equal to a² - b². This means that a² = x² and b² = 36. Therefore, a = x and b = 6.

Now, we can rewrite the polynomial as (x+6)(x-6). This is the form of a difference of squares.

The term in the middle of the polynomial, ?x, is equal to the difference between the squares of a and b, which is 0. Therefore, the number that should replace the question mark to produce a difference of squares is 0.

So, the answer is B. 0.

Question

The difference of squares is a term used in algebra to describe the difference between two square numbers. It is represented by the formula a² - b² = (a+b)(a-b).

In the given polynomial x² + ?x - 36, we want to find the value of ? that will make the polynomial a difference of squares.

A difference of squares can be rewritten in the form (a+b)(a-b). So, we want to rewrite x² + ?x - 36 in this form.

We know that (a+b)(a-b) = a² - b². So, we can say that x² - 36 is equal to a² - b². This means that a² = x² and b² = 36. Therefore, a = x and b = 6.

Now, we can rewrite the polynomial as (x+6)(x-6). This is the form of a difference of squares.

The term in the middle of the polynomial, ?x, is equal to the difference between the squares of a and b, which is 0. Therefore, the number that should replace the question mark to produce a difference of squares is 0.

So, the answer is B. 0.

Knowee AI · Accepted Answer

The difference of squares is a term used in algebra to describe the difference between two square numbers. It is represented by the formula a² - b² = (a+b)(a-b).

In the given polynomial x² + ?x - 36, we want to find the value of ? that will make the polynomial a difference of squares.

A difference of squares can be rewritten in the form (a+b)(a-b). So, we want to rewrite x² + ?x - 36 in this form.

We know that (a+b)(a-b) = a² - b². So, we can say that x² - 36 is equal to a² - b². This means that a² = x² and b² = 36. Therefore, a = x and b = 6.

Now, we can rewrite the polynomial as (x+6)(x-6). This is the form of a difference of squares.

The term in the middle of the polynomial, ?x, is equal to the difference between the squares of a and b, which is 0. Therefore, the number that should replace the question mark to produce a difference of squares is 0.

So, the answer is B. 0.

In the polynomial below, what number should replace the question mark to produce a difference of squares?x2 + ?x - 36A.36B.0C.6D.12

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