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3 years ago

In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ?x - 49

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

shutvik [7]3 years ago

4 0

We are asked to find unknown or the missing number to complete the polynomial given in the problem which is x² + ?x -49. First, let us equate the number to be equal to zero such as it would become x² + ?x - 49 = 0. Next, we need to find the factors such that it would produce a difference of squares and these two factors are a = +7 and b = -7. Hence, the complete solution is shown below:
(x + 7) (x-7) = 0
perform distribution and multiplication of terms such as shown below:
x² + 7x - 7x - 49 = 0
Combine the same term such as we can either add or subtract +7x to -7x and the result will be equal to 0x.
x² + 0x - 49 = 0

Therefore, the missing number is 0. The answer is 0 which will result to x² +0x - 49.

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