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2 years ago

Can you please factor x^2-2x-31?

1 answer:

8 0

Multiply the coefficient of the first term by the constant 1 • -31 = -31

Find two factors of -31 whose sum equals the coefficient of the middle term, which is -2 .

-31 + 1 = -30
-1 + 31 = 30

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

$\text{If}\ x_1\ \text{and}\ x_2\ \text{are the roots of the quadratic equation}\ ax^2+bx+c=0,\\\text{then}\ ax^2+bx+c=a(x-x_1)(x-x_2).\\\\\text{If}\ x_1\ \text{and}\ x_2\ \text{, then they are the roots of the quadratic equation.}\\\\\text{We have}\ x_1=-4\ \text{and}\ x_2=5.\ \text{Therefore we have the equation:}\\\\a(x-(-4))(x-5)=0\\\\a(x+4)(x-5)=0\qquad\text{for any value of}\ a\ \text{except 0}.$

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