PYQ Vault

Curve y = ax^3 + bx^2 + cx + 5 touches the x-axis at (-2, 0) and has gradient 3 where it meets the y-axis: find a, b, c

The same question, asked 2 times: 3 May 2023 S2*, 11 May 2023 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    3 May 2023 S2

    116
    The curve y=ax3+bx2+cx+5y=ax^{3}+bx^{2}+cx+5 touches the x-axis at (−2,0)(-2,0) and cuts the y-axis at a point Q where its gradient is 3, then the value of a+b+ca+b+c is

    Tap an option to check your answer.

  2. Question 2

    11 May 2023 S2

    117
    The curve y=ax3+bx2+cx+5y=ax^3+bx^2+cx+5 touches the x-axis at (−2,0)(-2,0) and cuts the y-axis at a point Q where its gradient is 3, then values of a,b,ca,b,c respectively, are

    Tap an option to check your answer.