1.2.3.3 What is the degree of this polynomial?

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Name	Status	Author	Last Modified
1.2.3.3 What is the degree of this polynomial?	Ready to use	Merryn Horrocks	28/06/2023 05:34
2.7.1.2 State the degree of the polynomial	Ready to use	Merryn Horrocks	17/06/2024 07:35

Question statement

What is the degree of the polynomial $\var{q3_expr}$ ?

Give any introductory information the student needs.

			Name	Type	Generated Value

q3_expr	expression	c^4 + 2c^9 + 2 - 5c^5
q3_expr_bits	list	List of 10 items
q3_deg	integer	9
q3_coeffs	list	List of 10 items
letter	string	c

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
simplify(expression(string(simplify(
expression( 
    q3_expr_bits[0] + "+" + q3_expr_bits[1] + "+" + q3_expr_bits[2] + "+" +
    q3_expr_bits[3] + "+" + q3_expr_bits[4] + "+" + q3_expr_bits[5] + "+" +
    q3_expr_bits[6] + "+" + q3_expr_bits[7] + "+" + q3_expr_bits[8] + "+" +
    q3_expr_bits[9] ),
["all"]))),["all"])

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `expression`

c^4 + 2*c^9 + 2 - 5*c^5

← Depends on:

q3_expr_bits

→ Used by:

Statement
Advice

Advice

Look for the largest index on the variable. This is the degree.

If there are no indices, look for a variable. If there is a variable with no index, then this could be rewritten with an index of 1, and this is the degree.

If there is no variable, and only a constant, then the degree is $0$ .

So the degree of $\var{q3_expr}$ is $\var{q3_deg}$ .

Give a worked solution to the whole question.

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This question is used in the following exams:

HELM Book 1.2 Mastery by Merryn Horrocks in HELM books.
HELM Book 1.2 Diagnostic by Merryn Horrocks in HELM books.
HELM Book 1.2 Indices by Merryn Horrocks in HELM books.
HELM Book 1.2.3 exercises by Merryn Horrocks in HELM books.
Mock 1 by ahmad mustafa in EmSAT.

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1.2.3.3 What is the degree of this polynomial?

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Taxonomy: mathcentre

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Merryn Horrocks 1 year, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Error in variable testing condition

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Generated value: `expression`

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1.2.3.3 What is the degree of this polynomial?

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Merryn Horrocks 1 year, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: expression

Parts

Number entry

Advanced settings

Generated value: `expression`