0. Review of Algebra

Factor out the Greatest Common Factor in the polynomial.

$4x^2y-100y$

Factor out the Greatest Common Factor in the polynomial.

$-3x^4+12x^3-18x^2$

Factor the polynomial by grouping

$-x^2-5x+7x+35$

Factor the polynomial by grouping.

$6x^3-2x^2+3x-1$

Factor the polynomial using special product formulas.

$25x^2-110x+121$

Factor the polynomial using special product formulas.

$\frac{x^2}{49}-9$

Factor the polynomial.

$x^2-13x+40$

Factor the polynomial.

$x^2-2x-15$

Factor the polynomial.

$4x^2-19x+12$

Factor the polynomial.

$3x^2-2x-5$

A rigid bar (negligible mass) of length 80 cm connects a large sphere with a mass (m₁) of 25 g to a small sphere with an unknown mass (m₂). The large sphere is located at one end of the bar, with the center of mass of the bar located 22 cm away from this sphere. Determine the mass of the sphere (in grams) at the other end of the bar.