Question

What is the sum of the given polynomials in standard form?

A) 0
B) -3x^2 + 8x - 3
C) x^2 - 2x - 3
D) 3x^2 - 8x + 3
E) -x^2 + 2x - 3

Answer 1

The sum of the given polynomials
`(x^2-3x) + (-2x^2 + 5x- 3)` in standard form is
`-x^2 + 2x - 6.`

The answer is option ⇒E

Step-by-step explanation:

To sum polynomials, align like terms and add them together, and the sum should be in standard form as ax² + bx + c. To find the sum of the given polynomials in standard form, we simply combine like terms.

Let's simplify the expression step by step:

`(x^2-3x) + (-2x^2 + 5x- 3)`

Combine the like terms of
`x^2`:

`x^2 + (-2x^2) = -x^2`

Combine the like terms of
`x`:

`-3x + 5x = 2x`

Combine the constant terms:

`-3 + (-3) = -6`

Putting it all together, the simplified sum of the polynomials is:

`-x^2 + 2x - 6`

Therefore, the correct answer is E)
`-x^2 + 2x - 6.`

Your question is incomplete, but most probably the full question was:

What is the sum of the given polynomials in standard form?

`(x^2-3x) + (-2x^2 + 5x- 3)`

A)
`0`

B)
`-3x^2 + 8x - 3`

C)
`x^2 - 2x - 3`

D)
`3x^2 - 8x + 3`

E)
`-x^2 + 2x - 3`