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3. Which polynomial is equal to

(-3x2 + 2x - 3) subtracted from
(x3 - x² + 3x)?

A 2x² + 2x² + x -
B-2x² + 2x² + x + 3
C x² + 2x² +
x3
Dx² + 2? + x + 3
X

User Ryuzakinho
by
8.1k points

1 Answer

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Which polynomial is equal to (-3x^2 + 2x - 3) subtracted from (x^3 - x^2 + 3x)?

Answer:

The polynomial equal to (-3x^2 + 2x - 3) subtracted from (x^3 - x^2 + 3x) is
x^3 + 2x^2 + x + 3

Solution:

Given that two polynomials are:
(-3x^2 + 2x - 3) and
(x^3 - x^2 + 3x)

We have to find the result when
(-3x^2 + 2x - 3) is subtracted from
(x^3 - x^2 + 3x)

In basic arithmetic operations,

when "a" is subtracted from "b" , the result is b - a

Similarly,

When
(-3x^2 + 2x - 3) is subtracted from
(x^3 - x^2 + 3x) , the result is:


\rightarrow (x^3 - x^2 + 3x) - (-3x^2 + 2x - 3)

Let us solve the above expression

There are two simple rules to remember:

  • When you multiply a negative number by a positive number then the product is always negative.
  • When you multiply two negative numbers or two positive numbers then the product is always positive.

So the above expression becomes:


\rightarrow (x^3 - x^2 + 3x) + 3x^2 -2x + 3

Removing the brackets we get,


\rightarrow x^3 - x^2 + 3x + 3x^2 -2x + 3

Combining the like terms,


\rightarrow x^3 -x^2 + 3x^2 + 3x - 2x + 3


\rightarrow x^3 + 2x^2 + x + 3

Thus the resulting polynomial is found

User GrkEngineer
by
8.8k points

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