Which of the following is a polynomial with roots 5, 7, and −8? (a). f(x) = x3 − 35x2 − 56x + 61 (b). f(x) = x3 − 35x2 − 61x + 280 (c). f(x) = x3 − 4x2 − 35x + 56 (d). f(x) = x3 − 4x2 − 61x + 280

The correct option is D.

Step-by-step explanation:

According the definition of roots if a function f(x) have a root c, then (x-c) is a factor of f(x).

The function is defined as,

Where c is a constant, are roots with multiplicity respectively.

It is given that the roots of the function are 5,7 and -8, therefore the factors of the polynomial are (x-5),(x-7) and (x+8).

Multiply the factors to get the function.

Therefore, the correct option is D.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

answer: you need the equation in the question so i can answer it

step-by-step explanation: