Question

Subtracting 3x^2+4x−5 from 7x+x+9 results in a polynomial. After subtracting 4x−3x from this polynomial, the difference is ________.

a) 6x^2+6x+14
b) 10x^2+8x+4
c) 2x^2−2x+4
d) 4x^+2x+4

Answer 1

To subtract the given polynomials, first combine like terms, and then subtract another polynomial. The difference is -3x^2 + 5x + 14.

Step-by-step explanation:

To subtract 3x^2 + 4x - 5 from 7x + x + 9, we can combine like terms:

7x + x + 9 - (3x^2 + 4x - 5) = 8x + 9 - 3x^2 - 4x + 5 = -3x^2 + 4x + 14

Then, subtracting 4x - 3x from -3x^2 + 4x + 14 gives us:

-3x^2 + 4x + 14 - (4x - 3x) = -3x^2 + 4x + 14 - x = -3x^2 + 5x + 14