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
