1 of 8 0-day streak

Simplify and operate on algebraic fractions

Question 1 of 8

No calculator

Use exact arithmetic with the algebraic fraction expression below

\frac{\left(t+1\right)\left(t-1\right)\left(t-2\right)}{3\left(t\right)\left(t-1\right)}

(a)5 marks

Write the fraction in simplest form

Cancel common factors, then expand. Use a monic denominator (leading coefficient 1) by dividing both polynomials by the same number. Enter signed exact coefficients and zero for missing powers

\frac{?t^{2}+?t+?}{?t+?}

Numerator coefficient of \(t^{2}\) Numerator coefficient of \(t\) Numerator constant term Denominator coefficient of \(t\) Denominator constant term

(b)1 mark

Which set contains exactly the values excluded by the original expression?

Exclude these real values:

t\notin\{1\}

Exclude these real values:

t\notin\{0,1\}

Exclude these real values:

t\notin\{0,1,2\}