\( \rm{Solve} \) \[y=x^2 - 5x - 6 \] \(\rm{for \ x}, \ when \ y \ = \ 0 \)
\(x = -1, 6 \)
\(x = 1, -6 \)
\(x = -3, -2 \)
\(x = 2, 3 \)
\(\rm{ Factorise} \) \[2x^2 - 2x - 12 \]
\( (2x+4)(x-3) \)
\( (2x+3)(x-4) \)
\( (2x+4)(2x-3) \)
\( (2x-4)(x+3) \)
\( (x+2)(x-6) \)
\( \rm{ Using \ the \ quadratic \ formula, \ calculate \ the \ roots \ of:} \)
\[0=3x^2 + 7x -1 \]
\( x= -2.47, \ 0.135\)
\(x=-2.18, \ -0.15\)
\( x=-0.4, \ 14.8 \)
\( x = 0, \ 14 \)
\( \rm{Find \ the \ points \ of \ intersection \ of \ the \ lines:}\) \[y=2x-1\] \(\rm{and}\) \[y=x^2+2x-10 \]
\( (-3,-7) \rm{and} (3,5) \)
\( (-3,5) \rm{and} (3,7) \)
\( (-1,-3) \rm{and} (1,1) \)
\(\rm{They \ don't \ intersect} \)
\( \rm{A \ ball \ is \ kicked \ on \ a \ low \ gravity \ asteroid, \ where \ g=2ms^{-2}. \ It \ has \ an \ initial \ vertical \ velocity \ of \ v_0=4ms^{-1}} \) \( \rm{and \ reaches \ a \ peak \ height \ of \ 4m. \ How \ much \ time \ passes \ to \ reach \ this \ height?} \)
\( \rm{2 \ s} \)
\( \rm{-2 \ s} \)
\( \rm{16 \ s} \)
\( \rm{1} \ s \)
\( \rm{It \ never \ reaches \ that \ height.} \)
