The area of a rectangle is (x4 + 4x3 + 3x2 – 4x – 4), and the length of the rectangle is (x3 + 5x2 + 8x + 4). if area = length × width, what is the width of the rectangle? x + 1

We can solve this by multiplying the two polynomials given because we know that length times width is area of a rectangle: a=(x⁴+4x³+3x²-4x-4)(x³+5x²+8x+4)a=x⁷+5x⁶+8x⁵+4x⁴+4x⁶+20x⁵+32x⁴+16x³+3x⁵+15x⁴+24x³+12x²-4x⁴-20x³-32x²-16x-16x³-20x²-32x-16now, we want to simplify all of the like terms: x⁷+9x⁶+21x⁵+47x⁴+4x³-40x²-48x-16that is your answer

Igot 108 hope that’s right !