Write the polynomial in terms of its linear factors.

P(x) 2x^4 - 4x^3 - 16x^2

9514 1404 393

  P(x) = (2x)(x)(x-4)(x+2)

Step-by-step explanation:

Once the common factor of 2x^2 is factored out, you have ...

  P(x) = 2x^2(x^2 -2x -8)

To factor the quadratic, you look for factors of -8 that have a sum of -2.

  -8 = (1)(-8) = 2(-4)

These last factors have that sum, so we can write P(x) as ...

  P(x) = (2x)(x)(x +2)(x -4)

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice