Solve 6c^2-11cs-35s^2

$$6 c ^ { 2 } - 11 c s - 35 s ^ { 2 }$$

Factor

$$\left(2c-7s\right)\left(5s+3c\right)$$

Solution Steps

Consider 6c^{2}-11cs-35s^{2} as a polynomial over variable c.

$$6c^{2}-11sc-35s^{2}$$

Find one factor of the form kc^{m}+n, where kc^{m} divides the monomial with the highest power 6c^{2} and n divides the constant factor -35s^{2}. One such factor is -7s+2c. Factor the polynomial by dividing it by this factor.

$$\left(-7s+2c\right)\left(5s+3c\right)$$

Evaluate

$$\left(2c-7s\right)\left(5s+3c\right)$$