Find the X-Intercepts of the Polynomial Function $$f ( x ) = x ^ { 3 } + 11 x ^ { 2 } + 40 x + 48$$

question 223

Multiple Choice

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and
turns around, at each intercept.
- $$f ( x ) = x ^ { 3 } + 11 x ^ { 2 } + 40 x + 48$$

• A) 4 , crosses the \(x\)-axis;
• \(- 4\), crosses the \(x\)-axis;
• \(- 3\), crosses the \(x\)-axis.
• B) \(- 4\), crosses the \(x\)-axis;
• \(- 3\), touches the \(x\)-axis and turns around
• C) 4 , crosses the \(x\)-axis;
• \(- 4\), touches the \(x\)-axis and turns around;
• \(- 3\), crosses the \(x\)-axis.
• D) \(- 4\), touches the \(x\)-axis and turns around;
• \(- 3\), crosses the \(x\)-axis.

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Definitions:

Compound Interest

Interest calculated not only on the original amount of the deposit or loan but also on the interest that has accumulated over previous periods.

Compound Interest

Calculated interest on a deposit or loan that involves the initial principal plus the interest that has built up in past periods.

Fraction

A mathematical expression representing the division of one integer by another, indicating a part of a whole.

Decimal Equivalent

A numerical value expressed as a decimal, representing the fraction of a whole number.