MathedUpFactor Theorem

Exit tickets

Exit ticket · Factor Theorem
  1. $f(x) = x^3 + 4x^2 - 6x + 3$.
    Work out $f(-1)$.
  2. $(x - 3)$ is a factor of $f(x) = x^3 - 4x^2 - 4x + k$, where $k$ is a constant.
    Find the value of $k$.
  3. The graph shows $y = f(x)$, a cubic that crosses the $x$-axis at the three marked points.
    The coefficient of $x^3$ in $f(x)$ is $1$.
    Write $f(x)$ as a product of three linear factors.
    -2-13
Exit ticket · Factor Theorem
  1. $f(x) = x^3 + 4x^2 - 6x + 3$.
    Work out $f(-1)$.
  2. $(x - 3)$ is a factor of $f(x) = x^3 - 4x^2 - 4x + k$, where $k$ is a constant.
    Find the value of $k$.
  3. The graph shows $y = f(x)$, a cubic that crosses the $x$-axis at the three marked points.
    The coefficient of $x^3$ in $f(x)$ is $1$.
    Write $f(x)$ as a product of three linear factors.
    -2-13
Exit ticket · Factor Theorem
  1. $f(x) = x^3 + 4x^2 - 6x + 3$.
    Work out $f(-1)$.
  2. $(x - 3)$ is a factor of $f(x) = x^3 - 4x^2 - 4x + k$, where $k$ is a constant.
    Find the value of $k$.
  3. The graph shows $y = f(x)$, a cubic that crosses the $x$-axis at the three marked points.
    The coefficient of $x^3$ in $f(x)$ is $1$.
    Write $f(x)$ as a product of three linear factors.
    -2-13
Exit ticket · Factor Theorem
  1. $f(x) = x^3 + 4x^2 - 6x + 3$.
    Work out $f(-1)$.
  2. $(x - 3)$ is a factor of $f(x) = x^3 - 4x^2 - 4x + k$, where $k$ is a constant.
    Find the value of $k$.
  3. The graph shows $y = f(x)$, a cubic that crosses the $x$-axis at the three marked points.
    The coefficient of $x^3$ in $f(x)$ is $1$.
    Write $f(x)$ as a product of three linear factors.
    -2-13
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