Examples with solutions for The Quadratic Formula: Identifying and defining elements

Exercise #1

a = coefficient of x²

b = coefficient of x

c = coefficient of the constant term


What is the value of c c in the function y=x2+25x y=-x^2+25x ?

Video Solution

Step-by-Step Solution

Let's recall the general form of the quadratic function:

y=ax2+bx+c y=ax^2+bx+c The function given in the problem is:

y=x2+25x y=-x^2+25x c c is the free term (meaning the coefficient of the term with power 0),

In the function in the problem there is no free term,

Therefore, we can identify that:

c=0 c=0 Therefore, the correct answer is answer A.

Answer

c=0 c=0

Exercise #2

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


what is the value of b b in this quadratic equation:

y=4x216 y=4x^2-16

Video Solution

Answer

b=0 b=0

Exercise #3

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


what is the value of c c in this quadratic equation:

y=5+3x2 y=5+3x^2

Video Solution

Answer

c=5 c=5

Exercise #4

a = Coefficient of x²

b = Coefficient of x

c = Coefficient of the independent number


what is the value of b b in the equation

y=3x2+10x y=3x^2+10-x

Video Solution

Answer

b=1 b=-1

Exercise #5

a = Coefficient of x²

b = Coefficient of x

c = Coefficient of the independent number


what is the value of a a in the equation

y=3x10+5x2 y=3x-10+5x^2

Video Solution

Answer

a=5 a=5

Exercise #6

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of c c in this quadratic equation:

y=5x2+4x3 y=-5x^2+4x-3

Video Solution

Answer

c=3 c=-3

Exercise #7

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


what is the value of b b in the equation

y=2x3x2+1 y=2x-3x^2+1

Video Solution

Answer

b=2 b=2

Exercise #8

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


what is the value of a a in the equation

y=x23x+1 y=-x^2-3x+1

Video Solution

Answer

a=1 a=-1

Exercise #9

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

Identifies a,b,c

5x2+6x8=0 5x^2+6x-8=0

Video Solution

Answer

a=5 a=5 b=6 b=6 c=8 c=-8

Exercise #10

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


8x25x+9=0 -8x^2-5x+9=0

What are the components of the equation?

Video Solution

Answer

a=8 a=-8 b=5 b=-5 c=9 c=9

Exercise #11

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


x2+4x5=0 x^2+4x-5=0

What are the components of the equation?

Video Solution

Answer

a=1 a=1 b=4 b=4 c=5 c=-5

Exercise #12

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


x22=0 -x^2-2=0

What are the components of the equation?

Video Solution

Answer

a=1 a=-1 b=0 b=0 c=2 c=-2

Exercise #13

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


x2+7x=0 x^2+7x=0

What are the components of the equation?

Video Solution

Answer

a=1 a=1 b=7 b=7 c=0 c=0

Exercise #14

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


10x2+5+20x=0 10x^2+5+20x=0

What are the components of the equation?

Video Solution

Answer

a=10 a=10 b=20 b=20 c=5 c=5

Exercise #15

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


56x2+12x=0 5-6x^2+12x=0

What are the components of the equation?

Video Solution

Answer

a=6 a=-6 b=12 b=12 c=5 c=5

Exercise #16

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of a a in this quadratic equation:

y=3x+30 y=3x+30

Video Solution

Answer

That's not a quadratic equation

Exercise #17

What is the value of a a in the equation 4x2=4x+16 4x^2=-4x+16 ?

Video Solution

Answer

a=4 a=4