Relation between Roots and Coefficients for Quadratic
Find the sum ...
Question
Find the sum of
(x) x2+x−2,2x−3x2+5 and 2x2−5x+7
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Solution
Step: Finding the sum We need to add (x2+x−2),(2x−3x2+5) and (2x2−5x+7). =(x2+x−2)+(2x−3x2+5)+(2x2−5x+7) =(x2−3x2+2x2)+(x+2x−5x)+(−2+5+7) [Grouping like terms] =(3x2−3x2)+(3x−5x)+(−2+12) =0−2x+10 =−2x+10
Hence, the answer is −2𝑥+10.