By the end of this topic you will be able to:
• Factorise a cubic polynomial expression with unitary x^{3} coefficient
• Solve cubic polynomial equations with unitary x^{3} coefficient
• Factorise a cubic or quartic polynomial expression where the term of highest degree has a non-unitary coefficient
• Solve a cubic or quartic polynomial equation, where the term of highest degree has a non-unitary coefficient
• Find the coordinates of the point(s) of intersection of a straight line and a curve or of two curves

Please check the solutions below and attempt the equivalent questions from the Set 2 sheet to those you struggled with first time. These should be handed in with your next homework or earlier. Please see me for help if necessary.

By the end of this topic you will be able to:
• use the Remainder Theorem to find remainder when dividing by x – h
• determine the roots of a polynomial equation
• use the Factor Theorem to determine the factors of a polynomial
f(x) = (2x – 1)(3x + 2)(2x – 5)

By the end of this topic you will be able to:
• use the Remainder Theorem to find remainder when dividing by x – h
• determine the roots of a polynomial equation
• use the Factor Theorem to determine the factors of a polynomial
f(x) = (2x – 1)(3x + 2)(2x – 5)

By the end of this topic you will be able to:
• use the Remainder Theorem to find remainder when dividing by x – h
• determine the roots of a polynomial equation
• use the Factor Theorem to determine the factors of a polynomial
f(x) = (2x – 1)(3x + 2)(2x – 5)