Question

The quotient of (x4 + 5x3 – 3x – 15) and a polynomial is (x3 – 3). What is the polynomial?

x7 + 5x6 – 6x4 – 30x3 + 9x + 45


x – 5


x + 5


x7 + 5x6 + 6x4 + 30x3 + 9x + 45

Answer 1

Answer: its C

Step-by-step explanation: i just took the test

Answer 2

g(x) = x+5

Explanation:

Given that,

`f(x)=x^4+5x^3-3x-15`

`q(x) = (x^3-3)`

We need to find the polynomial. We know that, Euclid division lemma states that

`f(x)=q(x)* g(x)+r(x)`

Where

f(x) is dividend

g(x) is the poynomial

q(x) is quotient

r(x) is remainder

So,

`x^4+5x^3-3x-15=(x^3-3)* g(x) +0\\\\g(x)=(x^4+5x^3-3x-15)/((x^3-3))\\\\g(x)=x+5`

So, the polynomial is (x+5).