Simplify the following expression. classify the resulting polynomial.

4x(x+1) - (3x - 8)(x+4)

a. quadratic monomial
b. linear binomial
c. quadratic binomial
d. quadratic trinomial

Quadratic Binomial

Step-by-step explanation:

4x(x+1) - (3x-8)(x+4)

Open parenthesis

(4x^2+4x) - (3x^2+12x-8x-32)

(4x^2+4x - 3x^2-12x+8x+32)

Collect like terms

4x^2-3x^2+4x+8x-12x+32

=x^2+32

Quadratic binomial

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet