SOLUTION: 1. Is it possible to generalize a condition for creating any two binomials whose sum is a monomial, and two binomials whose sum is a trinomial?
2. Can you think of a condition u
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Question 129273: 1. Is it possible to generalize a condition for creating any two binomials whose sum is a monomial, and two binomials whose sum is a trinomial?
2. Can you think of a condition under which the product of any two binomials is a binomial?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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Add general binomials to get:
(ax+b) + (cx+d) = (a+c)x + (b+d)
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1. Is it possible to generalize a condition for creating any two binomials whose sum is a monomial: b and d are both zero
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and two binomials whose sum is a trinomial?: no
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Multiply general binomials to get:
(ax+b)(cx+d) = acx^2 + (ad+bc)x + bd
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2. Can you think of a condition under which the product of any two binomials is a binomial?
ad+bc = zero
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Cheers,
Stan H.
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