Subtrach the polynomial 4x^2 -3x+5 from 6x^2 + x-2

Question

A: 2x^2+ 4x -7

B: 2x^2+ 4x -3

C: 2x^2+ 4x - 5

D: 2x^2+ 4x -2

Answer 1

To subtract the polynomial \( 4x^2 - 3x + 5 \) from \( 6x^2 + x - 2 \), we can write it as:

\[ (6x^2 + x - 2) - (4x^2 - 3x + 5) \]

Now, distribute the negative sign:

\[ 6x^2 + x - 2 - 4x^2 + 3x - 5 \]

Now, combine like terms:

1. Combine the \( x^2 \) terms: \[ 6x^2 - 4x^2 = 2x^2 \]

2. Combine the \( x \) terms: \[ x + 3x = 4x \]

3. Combine the constant terms: \[ -2 - 5 = -7 \]

Putting this all together, we get:

\[ 2x^2 + 4x - 7 \]

So the answer is:

A: \( 2x^2 + 4x - 7 \).