c) \(3x^2-10x-8\)
\(=\left(3x^2-12x\right)+\left(2x-8\right)\)
\(=3x\left(x-4\right)+2\left(x-4\right)\)
\(=\left(3x+2\right)\left(x-4\right)\)
d) \(x^9+x^8+x^7-x^3+1\)
\(=\left(x^9+x^8+x^7\right)-\left(x^3-1\right)\)
\(=x^7\left(x^2+x+1\right)-\left(x-1\right)\left(x^2+x+1\right)\)
\(=\left(x^7-x+1\right)\left(x^2+x+1\right)\)
C, 3x2-10x-8=3x2-12x+2x-8
=3x(x-4)+2(x-4)=(x-4)(3x+3
c.
\(3x^2-10x-8\\ =3x^2-12x+2x-8\\ =3x\left(x-4\right)+2\left(x-4\right)\\ =\left(3x+2\right)\left(x-4\right)\)
d. \(x^9+x^8+x^7-x^3+1\)
\(=\left(x^9+x^8+x^7\right)-\left(x^3-1\right)\)
\(=x^7\left(x^2+x+1\right)-\left(x-1\right)\left(x^2+x+1\right)\)
\(=\left(x^7-x+1\right)\left(x^2+x+1\right)\)