Quadratic Equations and Their Coefficients

The video tutorial explains how to write quadratic equations in standard form, which involves arranging the quadratic, linear, and constant terms in a specific order. It provides examples to check if equations are in standard form and demonstrates how to rewrite equations using the additive property of equality. The tutorial includes several example problems to reinforce the concept and concludes with a final example.

What is the correct order of terms in a quadratic equation's standard form?

• Quadratic term, constant term, linear term

• Constant term, linear term, quadratic term

• Quadratic term, linear term, constant term

• Linear term, quadratic term, constant term

Which of the following is the standard form of a quadratic equation?

• bx + ax^2 + c = 0

• ax^2 + c + bx = 0

• ax + bx^2 + c = 0

• ax^2 + bx + c = 0

If a quadratic equation is in standard form, what is the value of 'a' in the equation x^2 - x - 3 = 0?

• -1

• 0

• 3

• 1

In the equation x^2 - x - 3 = 0, what is the value of 'b'?

• 1

• -1

• 0

• 3

For the equation x^2 - x - 3 = 0, what is the value of 'c'?

• 3

• -3

• 1

• 0

How do you rewrite the equation 5x^2 - 2x - 9 = -5x^2 in standard form?

• Subtract 5x^2 from both sides

• Divide both sides by 5x^2

• Add 5x^2 to both sides

• Multiply both sides by 5x^2

What is the value of 'a' in the equation 5x^2 - 2x - 9 = 0?

• 2

• 5

• -2

• 9

In the equation 5x^2 - 2x - 9 = 0, what is the value of 'b'?

• 0

• 5

• -2

• 9

For the equation 5x^2 - 2x - 9 = 0, what is the value of 'c'?

• 0

• 2

• -9

• 5

How do you rewrite the equation x^2 - 6x - 18 = 6x + 18 in standard form?

• Add 6x and 18 to both sides

• Subtract 6x and 18 from both sides

• Divide both sides by 18

• Multiply both sides by 6x