Q$1.$ a$)$ Start with $p_0=-2\mathrm{.}6$ and $p_1=-2\mathrm{.}4,$ and use the secant method to find the root $p=-2$ of the polynomial function $f(x)=x^3-3x2.(60$ pts$)$

b$)$ Let $f(x)=-x^3-cosx.$ Using the method of false position, and with $p_0=-1$ and $p_1=0,$ find $p_3.$

$(40$ pts$)$