1 of 8 0-day streak

Verify quadratic fraction cancellations and exact values

Question 1 of 8

No calculator

Simplify the algebraic fraction

\frac{2x + 12}{2x^{2} + 18x + 36}

Keep every input excluded by the original denominator

(a)1 mark

Select the correct first setup for the stated algebraic fraction expression

Select the setup with a complete list of the values excluded by the original denominator

\frac{(x+6)}{2(x+3)(x+6)}

Excluded values: -6, -3

\frac{2(x+6)}{3(x+3)(x+6)}

Excluded values: -6, -3

\frac{2(x+6)}{2(x+3)(x+6)}

Excluded values: -6, -3

\frac{2(x+6)}{2(x+3)(x+6)}

Excluded values: -3

(b)1 mark

Choose the simplified fraction with a complete list of every original excluded value

\frac{2}{(x+3)}

Excluded values: -6, -3

\frac{1}{(x+3)}

Excluded values: -3

\frac{1}{x + 4}

Excluded values: -6, -3

\frac{1}{(x+3)}

Excluded values: -6, -3

At \(x=-7\), complete the exact check using the numerator, denominator and value of the simplified result

Use the exact numerator and denominator displayed in the correct simplified option in part (b), before evaluating. Do not rescale that displayed fraction

\(\frac{N(-7)}{D(-7)}\) \(N(-7)\) \(D(-7)\)