# How do you factor #15x^2-19x+6#?

Factor

Ans: (5x - 3)(3x - 2)

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To factor the expression (15x^2 - 19x + 6), you need to find two numbers that multiply to give (15 \times 6 = 90) and add to give (-19). The numbers are (-10) and (-9). So, the factored form of (15x^2 - 19x + 6) is ((5x - 3)(3x - 2)).

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To factor (15x^2 - 19x + 6), you can use the factoring method. Begin by finding two numbers that multiply to give you (15 \times 6 = 90) and add to give you (-19). These numbers are (-10) and (-9). Then, rewrite the middle term using these numbers:

(15x^2 - 10x - 9x + 6)

Now, factor by grouping:

(5x(3x - 2) - 3(3x - 2))

Now, notice that you have a common factor of ((3x - 2)), so you can factor that out:

((3x - 2)(5x - 3))

So, the factored form of (15x^2 - 19x + 6) is ((3x - 2)(5x - 3)).

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