Polynomials and Factoring

Created by M. LaSpinaApril 20, 2023

Mathematicians

Archimedes – one of the greatest mathematicians of all time for his work in geometry and integral calculus

Sofia Kovalevskaya – contributions to the theory of differential equationsLady Lovelace – worked with the analytic engine and how it could be

programmedRene Descartes – his application of algebra to geometry developed the

study of Cartesian geometryAlbert Einstein - contributed more than any other scientist to the modern

vision of physical realityPythagoras - was a Greek philosopher who made important

developments in mathematics, astronomy, and the theory of music Blaise Pascal – French mathematician who developed the foundation for

the theory of probabilityFlorence Nightingale – her love of statistics proved invaluable to her

work as a nurseEuclid - the leading mathematics teacher of the historic period preceding

the Middle Ages in Europe

Game board

Archimedes Lady Lovelace

Descartes Einstein Pythagoras

Pascal Florence Nightingale Euclid

Sofia Kovalevskaya

RESET

Archimedes’ Question

What is the area of the rectangle?

2 24a b

23a b

Response

Archimedes’ Response

4 312a b

DisagreeAgree

Sofia’s Question

When do you use positive exponents in scientific notation?

Response

Sofia’s Response

When the number is less than 1.

DisagreeAgree

Lady Lovelace’s Question

Is the following expression a polynomial?

32

7

4

yx x

x

Response

Lady Lovelace’s Response

It is not a polynomial because y over x squared is not a

monomial.

DisagreeAgree

Descartes Question

How do you check your answer when you subtract

two polynomials?

Response

Descartes Response

You multiply your answer with the polynomial being subtracted.

DisagreeAgree

Einstein’s Question

Name the property used to simplify

2 23 5 2 4x x y z

Response

Einstein’s Response

The distributive property.

DisagreeAgree

Pythagoras’ Question

Explain how the square of a difference and the square of a sum are

different.

Response

Pythagoras’ Response

The middle terms have different signs.

Disagree

Agree

Pascal’s Question

If the GCF of two numbers is 1, must the

numbers be prime?

Response

Pascal’s Response

No, the GCF of 4 and 9 is 1, but neither number is

prime.

Disagree

Agree

Florence’s Question

Do the numbers 11, 12 and 13 form a

Pythagorean triple?

Response

Florence’s Response

Yes, because 11 + 12 + 13 = 36 and the square root of 36

is the whole number 6.

Disagree

Agree

Euclid’s Question

Describe the relationship between multiplying

polynomials and factoring polynomials.

Response

Euclid’s Response

Multiplying and factoring polynomials are inverse

operations.

Disagree

Agree

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