(factories the following) 6x²-x-12
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EXPLANATION.
Factorizes.
⇒ 6x² - x - 12 = 0.
Factorizes the equation into middle term splits, we get.
⇒ 6x² - 9x + 8x - 12 = 0.
⇒ 3x(2x - 3) + 4(2x - 3) = 0.
⇒ (3x + 4)(2x - 3) = 0.
⇒ x = - 4/3 and x = 3/2.
MORE INFORMATION.
Quadratic Polynomial.
Sum of the zeroes of the quadratic polynomial.
⇒ α + β = - b/a.
Products of the zeroes of the quadratic polynomial.
⇒ αβ = c/a.
As we know that,
Formula of quadratic polynomial.
⇒ x² - (α + β)x + αβ.
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