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Q: What is the complete factor of 33xsquared minus 61x plus 10?

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Yes.

(x-4)

There are no rational factors.

To factor a trinomial square take the square roots of the end terms and join them with a plus sign if the middle term is preceded by a plus or with a minus if the middle term is preceded by a minus.

(a - 2)(a^2 + 6)

(b-c)(a+b)-ac

(3y - 5)(y + 5)

(x + 3)(3x - 2)

That doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: 1 plus or minus i where i is the square root of negative one.

There is no rational factorisation.

There are no rational factors.

2(a + 7)(a - 6)

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