Find the Zeros for the Polynomial Function and Give the Multiplicity

question 167

Multiple Choice

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the
x-axis or touches the x-axis and turns around, at each zero.
- $$f ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 33 x + 36$$

• A) \(- 3\), multiplicity 2 , touches the \(x\)-axis and turns around;
• \(- 4\), multiplicity 1 , crosses the \(x\)-axis.
• B) 3 , multiplicity 1 , crosses the \(x\)-axis;
• \(- 3\), multiplicity 1 , crosses the \(x\)-axis;
• \(- 4\), multiplicity 1 , crosses the \(x\)-axis.
• C) 3 , multiplicity 1 , crosses the \(x\)-axis;
• \(- 3\), multiplicity 2 , touches the \(x\)-axis and turns around;
• \(- 4\), multiplicity 1 , crosses the \(x\)-axis.
• D) \(- 3\), multiplicity 2 , crosses the \(x\)-axis;
• \(- 4\), multiplicity 1 , touches the \(x\)-axis and turns around

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Definitions:

Methylation

A biochemical process involving the addition of a methyl group to DNA, proteins, or other molecules, affecting how genes are expressed.

Genetic Instructions

Information encoded within an organism's DNA that guides its development, functioning, and reproduction.

Genes

Segments of DNA that serve as the basic units of heredity, each influencing specific traits or functions.

Chromosome

A thread-like structure of nucleic acids and protein found in the nucleus of most living cells, carrying genetic information in the form of genes.