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What is the condition for using the difference of squares method to factorize a polynomial ?

A. The polynomial must have two terms with opposite signs
B. The polynomial must have two terms with same signs.
C. The polynomial must have three terms with equal coefficients.
D. The polynomial must have three terms with different coefficients.

What is the condition for using the difference of squares method to factorize a polynomial-example-1
User Flurbius
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2 Answers

4 votes

Answer:

Step-by-step explanation:

the answer is B

User Brandon Martinez
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Final answer:

The correct condition for using the difference of squares method to factorize a polynomial is that the polynomial has two terms with opposite signs.

Step-by-step explanation:

The condition for using the difference of squares method to factorize a polynomial is that the polynomial must have two terms with opposite signs. Specifically, the polynomial should be in the form of a^2 - b^2 where a and b are any expressions. Using the difference of squares rule, such a polynomial can be factorized into (a + b)(a - b). This applies because when two positive numbers multiply, or two negative numbers multiply, the result is positive; however, when numbers with opposite signs are multiplied, the result is negative, which aligns with the characteristics of a difference of squares situation.

User Barakisbrown
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