Question

Help so the numbers I wrote are the options ​

Answer 1

Answer:

The value of discriminant = 25

It has two different x-intercepts

It has two zeroes -1/3 and -2

Step-by-step explanation:

∵ f(x) = ax² + bx + c

∵ The discriminant = b² - 4ac

∵ f(x) = 3x² + 7x + 2

∴ The value of discriminant = 7² - 4(3)(2) = 49 - 24

                                             = 25

∵ The value of discriminant > 0

∴ f(x) has two different roots

∴ It has two different x-intercepts

∵ f(x) = 0

∴ 3x² + 7x + 2 = 0

∴ (3x + 1)(x + 2) = 0

∴ 3x + 1 = 0 ⇒ 3x = -1 ⇒ x = -1/3

∴ x + 2 = 0 ⇒ x = -2

∴ It has two zeroes -1/3 and -2