Which of the binomials below is a factor of this trinomial?x2 - 9x + 18A.x + 2B.x + 3C.x - 2D.x - 3SUBMITarrow_backPREVIOUS
Question
Which of the binomials below is a factor of this trinomial?x2 - 9x + 18A.x + 2B.x + 3C.x - 2D.x - 3SUBMITarrow_backPREVIOUS
Solution
To find out which binomial is a factor of the trinomial, we need to factorize the trinomial.
The trinomial is x^2 - 9x + 18.
We need to find two numbers that multiply to 18 (the last term in the trinomial) and add up to -9 (the coefficient of the middle term).
Those two numbers are -3 and -6 because -3*-6 = 18 and -3 + -6 = -9.
So, the trinomial factors into (x - 3)(x - 6).
Therefore, the binomial that is a factor of the trinomial is D. x - 3.
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