If the remainder equals zero when a polynomial expression is divided by x-a then, a) x-a is not a factor of the polynomial
b) x-a is a factor of the polynomial
c)the polynomial must be of degree 0
d) the polynomial must be of degree 2
show work will give brainliest

b) x-a is a factor of the polynomial

Step-by-step explanation:

True.  so if P( x ) is a polynomial and if (x - a ) is a factor; then P(a) = 0. since P(a) produces a remainder, the statement is true.

answer: jasmine will bake 4/3 or 1 1/3 cookies in an hour

step-by-step explanation:

if u add 1/3 every 15 minutes after an hour u will have 4/3 or 1 1/3

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240