The binomials shown below will be multiplied to produce a quadratic trinomial.(x + p)(x + q)Which part of the trinomial will equal the sum of p and q?A.The coefficient of the x-termB.The coefficient of the x2-termC.The constant termD.The degreeSUBMITarrow_backPREVIOUS
Question
The binomials shown below will be multiplied to produce a quadratic trinomial.(x + p)(x + q)Which part of the trinomial will equal the sum of p and q?A.The coefficient of the x-termB.The coefficient of the x2-termC.The constant termD.The degreeSUBMITarrow_backPREVIOUS
Solution 1
The part of the trinomial that will equal the sum of p and q is A. The coefficient of the x-term. When you multiply out the binomials, the x-term is formed by the sum of the products of x and each of the constants, which are p and q. Therefore, the coefficient of the x-term in the resulting trinomial will be p+q.
Solution 2
The part of the trinomial that will equal the sum of p and q is A. The coefficient of the x-term. When you multiply out the binomials (x + p)(x + q), you get x^2 + px + qx + pq. The x-term is the sum of px and qx, which is (p+q)x. Therefore, the coefficient of the x-term is the sum of p and q.
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