Which can is the polynomial function of the lowest degree with rational real coefficients, a leading coefficient of 3 and roots 5 and 2

Question

Stevens

Mathematics

2 June, 14:26

Which can is the polynomial function of the lowest degree with rational real coefficients, a leading coefficient of 3 and roots 5 and 2

+5

Answers (2)

Know the Answer?

Francis Savage · Answer 1

Y = 3x2 - 21x + 30

Konnor Harper · Answer 2

y = 3x² - 21x + 30

Step-by-step explanation:

given the polynomial has roots x = 5, x = 2, then

(x - 5) and (x - 2) are factors and

y = a (x - 5) (x - 2) ← a is a multiplier

here a = 3

y = 3 (x - 5) (x - 2)

= 3 (x² - 7x + 10) = 3x² - 21x + 30