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Answer :
The product of (2x+7) and (x – 5) is option C) 2x^2 - 3x - 35.
What is FOIL method. give a description
FOIL method is a mnemonic technique used to multiply two binomials. The term "FOIL" stands for First, Outer, Inner, Last, and refers to the order in which the terms in each binomial are multiplied.
To use the FOIL method, you start by multiplying the first terms of each binomial, then the outer terms, the inner terms, and finally the last terms. The resulting terms are then combined using addition or subtraction as needed.
Finding the product of given two terms :
The product of (2x+7) and (x – 5) can be found by using the FOIL method.
we multiply the first terms, then the outer terms, then the inner terms, and finally the last terms:
[tex](2x + 7) \times (x - 5) = 2x^2 - 10x + 7x - 35[/tex]
[tex](2x + 7) \times (x - 5) = 2x^2 - 3x - 35[/tex]
Therefore, the answer is option C) [tex]2x^2 - 3x - 35[/tex].
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