Determine what descartes rule of signs says about the number of positive and negative real roots for the polynomial function. p(x)=x^2+5x+6

see explanation

Step-by-step explanation:

given P(x) = x² + 5x + 6

check the number of sign changes for positive real roots

+ / + / + ← no sign changes ⇒ no positive roots

check the sign changes for P(- x)

P(- x) = (- x)² + 5(- x) + 6 = x² - 5x + 6

+ / - / + ← 2 sign changes ⇒ 2 or 0 negative roots

We can check this by finding the roots

x² - 5x + 6 = 0

(x + 2)(x + 3) = 0 ⇒ x = - 2 or x = - 3 ← 2 negative roots

12.4, 12.387, 12.26, 12.252, 6.241, 6.2, 6.015, 6.009, 1.411, 1.2, 1.056, 1.007, 0.31,   0.13, 0.5, 0.04

step-by-step explanation:

ur welcome : )

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8