The difference between two polynomials is (5x+3).One of the two polynomials is (4x+1-3x^2). What is the other polynomial?
Please help! Thank you
P1-P2 = 5x+3
(-3x^2+4x+1) - P2 = 5x+3
P2 = (-3x^2+4x+1)-(5x+3) = -3x^2-x-2 =
Polynomial # 2.
To find the other polynomial, we subtract (5x+3) from (4x+1-3x^2):
(4x+1-3x^2) - (5x+3)
First, distribute the negative sign across the terms in the second polynomial:
4x + 1 - 3x^2 - 5x - 3
Combine like terms:
(4x - 5x) + 1 - 3 - 3x^2
Simplify further:
-x + 1 - 3 - 3x^2
Rearrange the terms in descending order of degree:
-3x^2 - x + 1 - 3
Final polynomial:
-3x^2 - x - 2
To find the other polynomial, we need to subtract (5x+3) from (4x+1-3x^2).
First, let's distribute the negative sign to (5x+3) to turn it into (-5x-3).
Now, subtract each term from the polynomial (4x+1-3x^2) by the corresponding term in (-5x-3):
(4x - 5x) + (1 - 3) + (-3x^2 - 0) = -x - 2 - 3x^2.
Therefore, the other polynomial is -x - 2 - 3x^2.