10G (2.4) PART 1 Introduction to Polynomials

Solving Binomials by factoring
Part 1

​(2.4)

This is a Polynomial. Poly means "many". It has many levels of x. These levels are called "degrees"

Multiple Choice

What degree is the following polynomial:

$$x^{2\ }+5x+4=0$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$x^{2\ }+7x+1=0$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$x^{2\ }-7x-7=0$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$4x^{2\ }+5x-9=0$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$2x^{2\ }-9x=9$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$x^{2\ }+4=4x$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$2x^3+3x^2+4=0$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$2x^3+4x=0$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$2x^2+10=0$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$2x^2+4=20$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$11x-9=20$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$11x-9+10+2\cdot3=60$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$11x-4-3x=60$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$4x^3+4x^2+4x\ +4\ =\ 1$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$4x^4+4x^3+4x^2+4x\ +4\ =\ 1$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$4x^{5\ }+4x^4+4x^3+4x^2+4x\ +4\ =\ 1$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$4x^4+4\ =\ 1$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$6x^5+4x^2\ =\ 1$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$x^4-8x^{ }\ =\ 0$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$3x^2+4x^{2\ }-7x\ -8=0$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$5x^2-8=7x$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

Multiple Choice

What degree is the following polynomial:

$$7x^3-5=2x$$

• First Degree

• Second Degree

• Third Degree

• Fourth Degree

• Fifth Degree

People use Polynomials often but there are many different ways to write the same polynomial. To keep everyone on the same page, Standard Form was invented.

​put the highest power first, then the second highest power...then the constant and set it equal to 0

​"a" , "b" , and "c" are constants, which means they are regular numbers WHICH DON'T CHANGE.

Multiple Choice

Which of the following is a constant?

• k

• x

• y

• 3

• c

Multiple Choice

Which of the following is a constant?

• k

• x

• y

• 11

• c

Multiple Choice

Which of the following is a constant?

• k

• x

• y

• 99

• c

Multiple Choice

Which of the following is a constant?

• k

• x

• y

• -7

• c

Multiple Choice

Which of the following is a constant?

• k

• x

• y

• 0

• c

Multiple Select

Which of the following are a constant?

• 1

• x

• -1

• 0

• c

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "c" in the polynomial $$x^2+x-10=0$$ ?

• $$x^2$$

• x

• -10

• 10

• 1

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "c" in the polynomial $$3x^2+x+4=0$$ ?

• $$3x^2$$

• x

• 4

• -4

• 3

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "c" in the polynomial $$2x^2-5x+9=0$$ ?

• $$2x^2$$

• x

• 9

• -5

• 2

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "c" in the polynomial $$7x^2-3x-8=0$$ ?

• $$7x^2$$

• x

• -3

• -8

• 2

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "a" in the polynomial $$7x^2-3x-8=0$$ ?

• $$7x^2$$

• -3x

• -8

• 7

• -3

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "a" in the polynomial $$2x^2-6x+8=0$$ ?

• $$2x^2$$

• -6x

• 8

• -6

• 2

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "a" in the polynomial $$x^2+2x+3=0$$ ?

• $$x^2$$

• 2x

• 3

• 1

• 2

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "b" in the polynomial $$x^2+2x+3=0$$ ?

• $$x^2$$

• 2x

• 3

• 1

• 2

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "b" in the polynomial $$3x^2-4x+8=0$$ ?

• $$3x^2$$

• -4x

• 3

• -4

• 8

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "b" in the polynomial $$2x^2-x+4=0$$ ?

• $$2x^2$$

• -x

• 2

• -1

• 4

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "b" in the polynomial $$2x^2-x=-4$$ ?

• $$2x^2$$

• -x

• 2

• -1

• 4

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "a" in the polynomial $$x^2+4=2x$$ ?

• $$x^2$$

• 2x

• 2

• 1

• 4

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

What is the value of the constant "b" in the polynomial $$x^2+4=2x$$ ?

• $$x^2$$

• -2

• 2

• 1

• 4

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

Arrange the following Polynomial into standard form:

$$2x^2=3x+5$$

• $$2x^2+3x+5=0$$

• $$2x^{2\ }-3x-5=0$$

• $$2x^2+3x\ =\ 4$$

• $$x^2+3x\ +\ 4$$

• $$2x^{2\ }+3x\ =5$$

Multiple Choice

Standard form is $$ax^2+bx\ +\ c\ =\ 0$$

Arrange the following Polynomial into standard form:

$$x^2-3x=6$$

• $$x^2-3x-6=0$$

• $$x^2-3x+6=0$$

• $$x^2-3x=0$$

• $$x^2-x-6=0$$

• $$x^2-6x+1=0$$