Factor x^2+3x-54
Problem
Solution
Identify the coefficients of the quadratic expression in the form
a*x2+b*x+c wherea=1 b=3 andc=−54 Find two numbers that multiply to the constant term
c=−54 and add to the linear coefficientb=3 Determine the pair of numbers by testing factors of
−54 The numbers9 and−6 satisfy both conditions because9⋅(−6)=−54 and9 + (-6) = 3$.Write the factored form using these two numbers as
(x+p)*(x+q)
Final Answer
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