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Cubics Quiz: Revision Questions on Cubic Equations and Intercepts

Prepare for your exams with this comprehensive set of 8 revision questions focused on cubic equations. Each question requires you to write the equation for a given cubic and determine the x-intercepts and y-intercepts for various cubic functions. You'll practice translating graphical information into algebraic form, enhancing your problem-solving skills. Ideal for students looking to strengthen their understanding of cubic relationships and intercepts. Challenge yourself and check your answers for a thorough review!

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Cubics Quiz: Revision Questions on Cubic Equations and Intercepts

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  1. Cubics Quiz 8 revision questions on cubics

  2. #1. Write the equation for this cubic: y 10 y Intercept 8 ( 0 , 8 ) y=(x-1)(x-2)(x-4) 6 4 2 x -2 2 4 6 8 10 -2 -4

  3. #2. Write the equation for this cubic: y 10 y=(x-1)2(x+3) 8 6 4 y Intercept ( 0 , 3 ) 2 x -10 -5 5 -2 -4

  4. #3. Write the equation for this cubic: y 10 y Intercept ( 0 , 60) y=(x+6)(x+2)(x+5) 5 x -10 -5 5 -5 -10

  5. #4. Write the equation for this cubic: y 5 y=(x+3)(x+4)(x-1) x -10 -5 5 10 -5 -10 y Intercept ( 0 , -12 ) -15

  6. #5. Write the equation for this cubic: y=(x+2)(x-2)(x+1)

  7. #6. What are the x-intercepts and y-intercept for this equation? y=x(x+3)(x-4) x-intercepts found when y=0 (or when each bracket is zero) x=0, x=-3, x=4 y-intercept found when x=0 y=0(0+3)(0-4) y=0x3x(-4) y=0

  8. #7. What are the x-intercepts and y-intercept for this equation? y=(x+2)(x-1)(x+7) x-intercepts found when y=0(or when each bracket is zero) x=-2, x=1, x=-7 y-intercept found when x=0 y=(0+2)(0-1)(0+7) y=2 x (-1) x 7 y= -14

  9. #8. What are the x-intercepts and y-intercept for this equation? y=-(x-5)(x-6)(x+1) x-intercepts found when y=0(or when each bracket is zero) x=5, x=6, x=-1 y-intercept found when x=0 y= - (0-5)(0-6)(0+1) y=- (-5) x (-6) x 1 y= -30

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