Question

If x²– 3x – 4 divides p(x) completely then the corresponding factors are

A) (x – 4), (x + 1)
B) (x – 4), (x – 1)
C) (x + 4), (x – 1)
D) (x + 4), (x + 1)
....fast ​

Answer 1

Answer:

A. (x – 4), (x + 1)

Step-by-step explanation:

let g(x) = (x²– 3x – 4)

if g(x) divides completely then,

the equation will be;

say f(x)= (x²– 3x – 4)p(x)

Or,p(x) and g(x) both are the factors of f(x). ..(1)

Or, g(x) = (x²- 4x+x-4) =x(x-4)+1(x-4)

OR, g(x)= (x-4)(x+1)

therefore,(x-4) and (x+1) are factors of g(x) which will also be the factors of f(x) ..(from (1))

• Hope it will help you :)

Answer 2

Answer:

A

Step-by-step explanation:

x^2-3x-4

sum=-3   product=-4

so no. are -4,1

therefore         x^2+1x-4x-4

                       x(x+1)-4(x+1)

                         (x+1)(x-4)

: )

answer : option A