MATH SOLVE

4 months ago

Q:
# Help so the numbers I wrote are the options

Accepted Solution

A:

Answer:The value of discriminant = 25It has two different x-interceptsIt has two zeroes -1/3 and -2Step-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