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In the trinomial x^2 + 5x + 6, where does the first term x^2 come from when the trinomial is written as a product of two binomials?
AMultiplying the last term of each binomial together
BAdding the outer and inner terms together
CMultiplying the first term of each binomial together
DSquaring the middle coefficient of the trinomial
Answer & Solution
Correct answer: C. Multiplying the first term of each binomial together
1. This rule explains that the first term of the trinomial comes from multiplying the first terms of the two binomial factors.
2. For x squared, each binomial must start with x, since x times x gives x squared.
3. The last term instead comes from multiplying the last terms of the binomials, and the middle term comes from adding the outer and inner products.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 7 "Factoring", section 7.2 Factor Quadratic Trinomials with Leading Coefficient 1_
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