What is a Quadratic equation?

What is a Quadratic equation?

What is an equation?

A statement that asserts the equality of two expressions

Multiple Select

Which of the following are expressions?

• 4xy + 7

• x + y + z

• x² – 2x = 1

• x = 1, y = 2

• x² – 2yx + y² = 7

Multiple Select

Which of the following are equations

• (a+b)(a-b)

• x² – 2yx + y²

• (a+b)(a-b) = 9

• he = π x g

• E = mc²

Multiple Choice

How many terms are in the expression

11x² − 15y² − 19x + 18y

• 1

• 2

• 4

• 0

Multiple Choice

Is 11x a term in the equation

11x² − 15y² − 19x + 18y

• yes

• no

Multiple Select

what are the terms in the expression

14x² - 3y ?

• 14x

• 14x²

• 3y

• -3y

Multiple Choice

Identify the coefficient of g² term in the expression:

7f + 8g + 11g² – 12h

• 8

• -11

• 64

• 11

Multiple Choice

Identify the constant term in the expression:

5x + 7y + 8z + 9

• 5

• 7

• 8

• 9

Degree of a term

The degree of a term is the sum of the exponents of the variables that appear in it

Degree of a term with one variable is the exponent (or power) on the variable.

Degree of a term

Degree of a term with more than one variable is the sum of the exponent (or power) on the variables.

Degree of an expression

the degree of an expression is the highest power appearing in any one term

Degree of an expression

the degree of an expression is the highest power appearing in any one term

Multiple Choice

Identify the highest degree/order of the expression:

10x + 5x² − 6y + 7

• 0

• 1

• 2

• -1

Multiple Choice

Identify the degree of the expression:

5x² + 8y³ + 3x + 9y −5y²

• 1

• 2

• 3

• 8y³

Multiple Choice

Identify the degree of the expression:

7a² + 3b³ + 5b³ + 6a² − 8a²

• 3

• 6

• 4

• 2

Multiple Choice

What degree does the expression

x³ - x²y² - 8y²+ 2 have?

• 1

• 2

• 3

• 4

What is the degree of this expression

(x-9)(x-8)(x+4)

What is the degree of this expression

(x-9)(x-8)(x+4) = x³ - 13x² + 4x + 288

Highest power for the variable is 3

Degree of the expression is 3.

What is the degree of (a - b)³?

(a - b)³ = a³ -b³ - 3a²b +3ab²

^{Degree is 3}

Multiple Choice

What is the degree of the polynomial?

ab²+a²b³−a³b¹

• 2

• 3

• 4

• 5

Multiple Choice

What is the degree of the polynomial?

3x(4 - x) + (2x - 5)²

• 2

• 3

• 4

• 5

Multiple Choice

What is the degree of the polynomial?

(x + 1)(x - 1)(x - 3)

• 2

• 3

• 4

• 5

Multiple Choice

What is the degree of the polynomial?

(x² - 2x + 3)²

• 2

• 3

• 4

• 5

What is a quadratic equation?

Algebraic equations of degree 2

 $ax^2+bx+c=0$  

any equation that can be rearranged in this standard form is a quadratic equation.

Multiple Choice

Which of the following is not a quadratic equation

• x² + 3x – 5 = 0

• x² + x³ + 2 = 0

• 3 + x + x² = 0

• x² – 9 = 0

Multiple Choice

The polynomial equation

x (x + 1) + 8 = (x + 2) (x – 2) is

• linear equation

• quadratic equation

• cubic equation

• Quartic equation

Multiple Choice

The equation

(x – 2)² + 1 = 2x – 3 is a

• linear equation

• quadratic equation

• cubic equation

• Quartic equation