Factoring Quadratic Expressions Quiz

What is the leading term in a quadratic expression ax^2 + bx + c?

• bx

• x^2

• c

• ax^2

What is the role of the constant term in a quadratic expression?

• It determines the leading coefficient

• It helps in factoring the expression

• It is always zero

• It is the same as the leading term

What is the leading coefficient in the expression ax^2 + bx + c?

• x

• c

• b

• a

In the expression x^2 + 8x + 12, what are the factors of 12 that sum to 8?

• 3 and 4

• 4 and 8

• 2 and 6

• 1 and 12

In the expression x^2 + 8x + 12, what is the first step in factoring?

• Find the factors of 12

• Find the factors of 8

• Multiply x by x

• Add 8 and 12

When factoring x^2 + 7x - 18, which pair of factors of -18 sums to 7?

• -3 and 6

• 1 and -18

• -1 and 18

• -2 and 9

Why do we use one positive and one negative factor when factoring x^2 + 7x - 18?

• To achieve a negative constant

• To balance the equation

• To make the expression positive

• To achieve a positive middle term

For the expression x^2 - 7x + 10, which pair of factors of 10 sums to -7?

• -2 and -5

• 1 and 10

• -1 and -10

• 2 and 5

In the expression x^2 - 7x + 10, why are both factors negative?

• To achieve a positive constant

• To achieve a negative middle term

• To make the expression zero

• To balance the equation

What is the assignment given at the end of the video?

• Factor x^2 + 5x + 6

• Find the roots of x^2 - 7x + 10

• Solve x^2 + 8x + 12

• Simplify x^2 + 7x - 18