Factor 6x^2+7x-5
Problem
Solution
Identify the coefficients of the quadratic expression
a*x2+b*x+c wherea=6 b=7 andc=−5 Find two numbers that multiply to
a⋅c=6⋅(−5)=−30 and add tob=7 Determine the pair of numbers, which are
10 and−3 because10⋅(−3)=−30 and10 + (-3) = 7$.Rewrite the middle term
7*x using these two numbers:6*x2+10*x−3*x−5 Factor by grouping the first two terms and the last two terms:
2*x*(3*x+5)−1*(3*x+5) Factor out the common binomial
(3*x+5) to obtain the final factored form.
Final Answer
Want more problems? Check here!