Which of the following polynomials has zeros at x = -4 and x = 7?
4x2 = 7x - 11
44²-49
7x² - 4x+28
x²-3x-28

Last option

Step-by-step explanation:

Roots (Zeros) of Polynomials

A given polynomial P(x) is said to have a root or zero at x=a if P(a)=0.

We must find a polynomial which zeros are x=-4 and x=7. We can test each option, but let's derive the polynomial by multiplying the factors (x+4)(x-7)

So if our polynomial was

its zeros will be x=-4 and x=7

Testing x=-4

Testing x=7

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.