Which of the binomials below is a factor of this trinomial?5x2 - 18x + 9A.5x - 3B.x + 1C.5x + 3D.x - 1SUBMITarrow_backPREVIOUS
Question
Which of the binomials below is a factor of this trinomial?5x2 - 18x + 9A.5x - 3B.x + 1C.5x + 3D.x - 1SUBMITarrow_backPREVIOUS
Solution
To find out which binomial is a factor of the trinomial, we need to factorize the trinomial.
The trinomial is 5x^2 - 18x + 9.
We are looking for two numbers that multiply to (5*9)=45 and add up to -18.
Those numbers are -15 and -3.
So, we can rewrite the trinomial as 5x^2 - 15x - 3x + 9.
Now, we can factor by grouping:
5x(x - 3) - 3(x - 3).
This gives us (5x - 3)(x - 3).
So, the binomial that is a factor of the trinomial is 5x - 3 (Option A).
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