Nature, Sum and Product of the Roots

Which expression represents the discriminant?

• b – 4ac

• b² – 4ac

• b² + 4ac

• ax² + bx + c

What is/are the nature of roots if the discriminant is negative?

• not real

• rational and equal

• rational and not equal

• irrational and equal

What is the discriminant of -2x² – x – 1 = 0

• -7

• -9

• 9

• 76

An equation has a discriminant of 25. How many solutions does it have?

• 0

• 1

• 2

• 5

The value of the discriminant is equal to 27, what are the characteristics of the roots?

• real

• imaginary

• rational and unequal

• irrational and not equal

What are the factors of x² – 10x + 16?

• (x + 4)(x + 4)

• (x – 4) (x – 4)

• (x + 8)(x + 2)

• (x – 8) (x – 2)

Find the roots of (x – 7) (x + 3) = 0

• 7, 3

• 7, -3

• -7, 3

• -7, -3

What is the sum of the roots of quadratic equation x² + 13x + 42 = 0?

• -42

• -13

• 13

• 42

What is the product of roots of x² – 15x + 26 = 0?

• -26

• -15

• 15

• 26

What is the sum and product of roots of 10x² – 11x + 3 = 0?

• $\frac{11}{10}$ , $\frac{3}{10}$

• $-\frac{11}{10}$ , $\frac{3}{10}$

• $\frac{11}{10}$ , $\frac{-3}{10}$
  

• $-\frac{11}{10}$ , $-\frac{3}{10}$