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What Is a Polynomial in One Variable?

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Introduction to Linear Polynomials · Expressions and polynomials · 4:10

You'll learn: Distinguish expressions involving one variable from the opening two-variable examples.

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What Is a Polynomial in One Variable?

4:10

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What Is a Polynomial in One Variable?

You'll learn: Distinguish expressions involving one variable from the opening two-variable examples.

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Same topic

Expressions and polynomials

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Build an Algebraic Expression from a Shopping Story
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Build an Algebraic Expression from a Shopping Story
You'll learn: Translate quantities, repeated groups and a fixed extra into an expression. Identify terms, variables and constants.
Why Do Fencing and Planting Produce Different Terms?
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Why Do Fencing and Planting Produce Different Terms?
You'll learn: Model boundary costs and area costs and compare their algebraic terms.
One Wire, Many Rectangles: Express the Area
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One Wire, Many Rectangles: Express the Area
You'll learn: Use a fixed perimeter to express width and area using one variable.
Find Coefficients, Constant Terms and Missing Terms
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Find Coefficients, Constant Terms and Missing Terms
You'll learn: Read signed coefficients and recognise an absent power as having coefficient zero.
Degree: The Highest Power Tells the Type
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Degree: The Highest Power Tells the Type
You'll learn: Identify constant, linear, quadratic and cubic polynomials and construct examples.
What Makes a Polynomial Linear?
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What Makes a Polynomial Linear?
You'll learn: Recognise degree-one expressions and distinguish them from quadratic and cubic forms.

Next topic

Linear rules and equations

5

A Square’s Perimeter Grows at a Constant Rate
3:53
A Square’s Perimeter Grows at a Constant Rate
You'll learn: Connect a change in side length to a constant change in perimeter.
Joining Fee Plus Match Fee: Build a Linear Rule
3:48
Joining Fee Plus Match Fee: Build a Linear Rule
You'll learn: Separate a starting amount from an amount added per match and work backwards from a total.
When Does an Expression Become an Equation?
3:57
When Does an Expression Become an Equation?
You'll learn: Distinguish a polynomial from a statement equating it to a known total.
A Polynomial as an Input-Output Machine
3:54
A Polynomial as an Input-Output Machine
You'll learn: Explain substitution as a sequence of operations producing an output.
Evaluate Polynomials with Positive, Zero and Negative Inputs
3:56
Evaluate Polynomials with Positive, Zero and Negative Inputs
You'll learn: Substitute carefully and distinguish squaring a negative value from multiplying a signed coefficient.

Next topic

Equations in practical situations

4

How Old Are Salil and His Mother?
3:55
How Old Are Salil and His Mother?
You'll learn: Translate an age relationship and a future total into one equation.
Use a Ratio to Split a Total or Difference
3:53
Use a Ratio to Split a Total or Difference
You'll learn: Represent related quantities using one variable and solve.
Coin Counts and Coin Values Are Different
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Coin Counts and Coin Values Are Different
You'll learn: Represent the number of each coin and build the total-money equation.
Recover a Rectangle’s Dimensions from Its Perimeter
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Recover a Rectangle’s Dimensions from Its Perimeter
You'll learn: Express length through width and solve the perimeter condition.