2x^3 + 13x^2 +13x – 10 = (x + 2)(ax^2 +bx + c).
expanding the right hand side:
2x^3 + 13x^2 +13x – 10 =ax^3+(2a+b)x^2+(2b+c)x+2c
Now look at the coefficient of x^2 on both sides of this identity these
must be equal so:
And now look at the constant terms on both sides, these also must be