Quetion:what is the polynomial resulting from the subtration of (3x^2+4x-7)-(x^3-2x+6)
Answer:4x^2-1
= 3x^2 + 4x - 7 -x^3 + 2x -6
= -x^3 + 3x^2 + 6x -13
Add the opposite and combine like terms.
i accedentally wrote it wrong it is (3x^2+4x-7)-(x^2-2x+6)
ok
=3x^2 + 4x - 7 - x^2 + 2x - 6
=2x^2 + 6x -13
thankyou
To find the polynomial resulting from the subtraction of (3x^2+4x-7)-(x^3-2x+6), we need to distribute the negative sign across every term in the second polynomial and then combine like terms.
First, let's distribute the negative sign:
-(x^3-2x+6) = -x^3 + 2x - 6
Now, let's combine the like terms:
(3x^2 + 4x - 7) - (x^3 - 2x + 6) = 3x^2 + 4x - 7 - x^3 + 2x - 6
Combining like terms:
= -x^3 + 3x^2 + 4x + 2x - 7 - 6
Simplifying further:
= -x^3 + 3x^2 + 6x - 13
Therefore, the resulting polynomial from the subtraction is -x^3 + 3x^2 + 6x - 13.