Question

Describe each polynomial expression by type and components based on the example shown.

Answer 1

Answer:

1) $3\cdot x^{2}+2\cdot x$ - The polynomial expression is a second-grade binomial, with a coefficient of 3 on the second-grade monomial component and a coefficient of 2 on the first-grade monomial component.

2) $2\cdot x^{2}-5\cdot x + 3$ - The polynomial expression is a third-grade trinomial, with a coefficient of 2 on the second-grade monomial component, a coefficient of -5 on the first-grade monomial component and a coeffcient of 3 on the zero-grade monomial component.

3) $6\cdot x$ - The polynomial expression is a first-grade monomial, with a coefficient  of 6 on the first grade monomial component.

Step-by-step explanation:

1) $3\cdot x^{2}+2\cdot x$ - The polynomial expression is a second-grade binomial, with a coefficient of 3 on the second-grade monomial component and a coefficient of 2 on the first-grade monomial component.

2) $2\cdot x^{2}-5\cdot x + 3$ - The polynomial expression is a third-grade trinomial, with a coefficient of 2 on the second-grade monomial component, a coefficient of -5 on the first-grade monomial component and a coeffcient of 3 on the zero-grade monomial component.

3) $6\cdot x$ - The polynomial expression is a first-grade monomial, with a coefficient  of 6 on the first grade monomial component.

Answer 2

Answer:

3x2 + 2x

This polynomial expression is a quadratic binomial, with a coefficient of 3 on the quadratic term, a linear term with coefficient 2, and no constant.

2x2 − 5x + 3

This polynomial expression is a quadratic trinomial, with a coefficient of 2 on the quadratic term, a linear term with coefficient -5, and constant 3.

6x

This polynomial expression is a linear monomial with a coefficient of 6 on the linear term and no constant.

Step-by-step explanation:

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