Cubics, Quartics, Polynomials Flashcards

(8 cards)

1
Q

Sum of two cubes

Factorise a³ + b³

A

a³ + b³ = (a + b)(a² - ab + b²)

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2
Q

Difference of two cubes

Factorise a³ - b³

A

a³ - b³ = (a - b)(a² + ab + b²)

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3
Q
A
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4
Q

Base cubic sketch

Quick sketch of y = x³

A

Note, same rough shape for the graph of any function y=x^(positive odd integer >1)
eg: x^5, x^7, x^9…

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5
Q

Base quartic sketch

Quick sketch of y = x⁴

A

Note, same rough shape for the graph of any function y=x^(positive even integer >1)
eg: x^2, x^4, x^6…

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6
Q

What is the divisor?

A

x-1

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7
Q

What is the quotient?

A
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8
Q

What is the remainder?

A
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