How do you factor #28x^3 +17x^2 -30x + 6#?

Answer 1

Refer to explanation

Using the following "clever" method

We try to factor it as a product of a polynomial of first degree and one of second degree as follows

#28x^3+17x^2-30x+6=(4x+a)*(7x^2+bx+c)#

Now doing the calculation in the RHS of the equation and equating the correspoding parts we get

#a=-1,b=6,c=-6# hence
#28x^3+17x^2-30x+6=(4x-1)*(7x^2+6x-6)#
It is easy to factor #7x^2+6x-6# as well hence we have that
#28x^3+17x^2-30x+6=(4x-1)*[-1/7*(-7x+sqrt51-3)*(7x+sqrt51+3)]#
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Answer 2

To factor the expression (28x^3 +17x^2 -30x + 6), you can use grouping:

Group the terms: ( (28x^3 +17x^2) + (-30x + 6) )

Factor out the greatest common factor from each group: ( x^2(28x + 17) - 6(5x - 1) )

Notice that both terms have a common factor of (5x - 1), so we can factor that out: ( (x^2 - 6)(5x - 1) )

So, (28x^3 +17x^2 -30x + 6) factors into ((x^2 - 6)(5x - 1)).

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Answer 3

To factor ( 28x^3 + 17x^2 - 30x + 6 ):

  1. Group the terms: ( (28x^3 + 17x^2) + (-30x + 6) )

  2. Factor by grouping: ( x^2(28x + 17) - 6(5x - 1) )

  3. Factor out the common factors: ( x^2(28x + 17) - 6(5x - 1) )

Therefore, the factored form of ( 28x^3 + 17x^2 - 30x + 6 ) is ( x^2(28x + 17) - 6(5x - 1) ).

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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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