3x2 + 48 + 192 = 3x2 + 240 = 3 (x2+ 80)
the inverse of x+3
3x2 + 10x + 3 = (x + 3)(3x + 1).
x3 + 3x2 - 9x + 5 = 0 has roots of -5,1 and 1. CHECK : x3 + 3x2 - 9x + 5 = (x + 5)(x - 1)(x - 1)
-3(x - 3)(x + 1)(x + 1)
3x2 + 48 + 192 = 3x2 + 240 = 3 (x2+ 80)
-3x2 + 16x + 12 = -3x2 + 18x - 2x + 12 = -3x*(x - 6) - 2(x - 6) = -(3x + 2)*(x - 6)
the inverse of x+3
3x2 + 22x + 7 = 3x2 +21x + x + 7 = 3x(x + 7) + (x + 7) = (x + 7)(3x + 1)
3x2+26x+16 When factorised: (3x+2)(x+8)
3x2 + 10x + 3 = (x + 3)(3x + 1).
3x2 + 30x + 48 is a quadratic polynomial. If 3x2 + 30x + 48 = 0, then: 3(x + 2)(x + 8) = 0 ⇒ x + 2 = 0 → x = -2 or x + 8 = 0 → x = -8
3x2 + 2x + 3 + x2 + x + 1 = 4x 2+ 3x + 4
x3 - 3x2 + x - 3 = (x2 +1)( x - 3)
x3 - 3x2 + x - 3 = (x - 3)(x2 + 1)
x3 + 3x2 - 9x + 5 = 0 has roots of -5,1 and 1. CHECK : x3 + 3x2 - 9x + 5 = (x + 5)(x - 1)(x - 1)
3x2 + 33x + 54 =3(x2 + 11x + 18) = 3(x + 9)(x + 2)