How do you factor #20+6x-2x^2#?

Answer 1

#20+6x-2x^2 = (-2)(x-5)(x+2)#

I (personally) always find it easier to work with expressions in standard form, so I will re-write the given expression as #color(white)("XXX")-2x^2+6x+20#
As a first step extract the obvious constant factor: #color(white)("XXX")(-2)(x^2-3x-10)#
To factor the second part, we are looking for factors of #10# whose difference is #3#. Again with only a bit of consideration we can come up with #(2,5)#
Since the constant term #(-10)# is negative, we know that one of #(2,5)# is negative. Since the coefficient of #x# (i.e. #(-3)#) is also negative we know that the larger of #(2,5)# should be negative.
Therefore we can factor our expression as #color(white)("XXX")(-2)(x-5)(x+2)#
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Answer 2

To factor the expression 20 + 6x - 2x^2, you first rearrange the terms in descending order of the exponent of x, so it becomes -2x^2 + 6x + 20. Then, you can factor out the greatest common factor, which in this case is -2. After factoring out -2, you will have x^2 - 3x - 10. Finally, you factor the quadratic expression x^2 - 3x - 10 into two binomial factors, which are (x - 5)(x + 2). Therefore, the factored form of 20 + 6x - 2x^2 is -2(x - 5)(x + 2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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