What are the factors of the polynomial function? use the rational root theorem to determine the factors. f(x) = 2x³ + x² - 8x - 4.

( x + 2 ) ( x - 2 ) ( 2x + 1)

Step-by-step explanation:

coefficient of x³ is 2 and denote it with q and denote -4 as p

the set of possible rational roots through rational theorem will be within ± (p/q)

now factors of -4 are ±(1,2,4) and factors of 2 are ± (1,2) the possible rational roots are ± ( 1/1, 1/2, 2/1, 2/2, 4/1, 4/2) which reduces to ± (1, 1/2, 2, 4)

substitute each of the value into the equation

f(x) = 2x³ + x² - 8x - 4 to the root ( that gives f(x) = 0)

the equation can be made easy writing it in reduced form

2x³ + x² - 8x - 4

(2x³ + x²) - (8x + 4)

x² (2x + 1) - 4 (2x + 1)

(x² - 4) (2x + 1)

( x + 2 ) ( x - 2) ( 2x + 1) are the factors which correspond to 2, -2, -1/2 roots

The first answer was correct in case you wanted verification.  Here is the complete test answer key, with all correct and incorrect choices marked. You will ace the quiz in 5 minutes. Be careful however, as the order in which the answers are in changes, so be sure to match up the correct answers.  Have a great day

Step-by-step explanation:

b.an increase in a causes b to decrease

(23*2)-12=x     x=34

step-by-step explanation: