x2 + 13x + 40
= x2 + 5x + 8x + 40
= x(x + 5) + 8(x + 5)
= (x + 8)(x + 5)
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X^2 - 13X + 30 = 0 (X-3)(X-10) easy inspection problem
It's a quadratic expression: x²+13x+12 If, for example, x²+13x+12 = 0 then there are 2 roots, x=-1 and x=-12
2x2 - 13x - 7 = (2x + 1)(x - 7)
x2 + 13x + 36 = 0 so (x+4)(x+9) = 0 so that x = -4 or x = -9
2x - 13x + 42 = x +ax + b a + b = 2(x - 6.5x + 21) = 34 = a + b