Which of the following is a polynomial with roots 5,7 and -8

The idea is to use the zero product property in reverse to go from the roots to the factorization. Then you expand out the polynomial using the distributive property.

x = 5 or x = 7 or x = -8

x-5 = 0 or x-7 = 0 or x+8 = 0

(x-5)(x-7)(x+8) = 0

(x-5)(x^2+x-56) = 0

x(x^2+x-56) - 5(x^2+x-56) = 0

x^3+x^2-56x  -5x^2-5x+280 = 0

x^3-4x^2-61x+280 = 0

f(x) = x^3 - 4x^2 - 61x + 280

The correct answer is option 4). x³- 4x² -61x + 280

Step-by-step explanation:

It is given that, a polynomial with roots 5,7 and -8

To find the polynomial

The roots are 5,7 and -8

Then the factors are, (x-5), (x-7) and (x+8)

p(x) = (x-5)(x-7)(x+8) = (x-5)(x² + 8x -7x + 56)

= (x-5)(x² + x - 56)

= x³ + x² - 56x -5x² - 5x + 280

= x³- 4x² -61x + 280

Therefore the polynomial is p(x) = x³- 4x² -61x + 280

The correct answer is option 4). x³- 4x² -61x + 280

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.