Home > Algebra > Factorization of Quadratic Expressions

How do you factor the trinomial #4m^2 + 17m - 22#?

Answer 1

can't be factored.

#y = 4m^2 + 17m - 22# #D = b^2 - 4ac = 289 + 352 = 641.# Since D is not a perfect square, this trinomial can't be factored.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Julia Adams

To factor the trinomial 4m^2 + 17m - 22, you need to find two numbers that multiply to give you the constant term (-22) and add to give you the coefficient of the middle term (17). These numbers are 22 and 1. Rewrite the middle term using these two numbers: 4m^2 + 22m - 5m - 22. Now, factor by grouping: (4m^2 + 22m) + (-5m - 22). Factor out the greatest common factor from each group: 2m(2m + 11) - 1(5m + 22). Finally, factor out the common binomial factor: (2m - 1)(2m + 11).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.