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mariarad [96]
3 years ago
12

Show how to determine whether (2x – 4) is a factor of the polynomial 2x^5 – 4x^4 + 2x^2 – 2x - 4

Mathematics
1 answer:
amid [387]3 years ago
8 0

Answer:

See explanation.

Step-by-step explanation:

First put 2x-4 equal to 0 and solve it.

2x-4=0

2x=4

x=2

Now plug 2 into the polynomial and see if it equals to 0

In case it's not, then it is not a factor of it

2(2)^5 - 4(2)^4 + 2x^2 -2(2) - 4 = 0


So it's indeed a factor of the polynomial.


Hope this helps!

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Let's solve your equation step-by-step.

2x-3x+5=18

Step 1: Simplify both sides of the equation.

2x-3x+5=18\\2x + -3x + 5 = 18

( 2x + -3x ) + ( 5) = 18 (Combine Like Terms)

-x + 5 = 18\\-x + 5 = 18

Step 2: Subtract 5 from both sides.

-x + 5 - 5 = 18 - 5 \\-x = 13

Step 3: Divide both sides by -1.

\frac{-x}{-1} = \frac{13}{-1} \\x = -13

Answer : \boxed {x = -13}

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