Question

For a polynomial P(x), if P(− 3/5 )=0, then which of the following must be a factor of P(x) ? a) 3x+5 b) x−3/5 c) 5x−3 d) 5x+3

Answer 1

To find out which of the given options is a factor of the polynomial P(x) when P(-3/5) = 0, we can use the Remainder Theorem. According to the Remainder Theorem, if a polynomial P(x) is divided by (x - k), where k is a constant, then the remainder will be equal to P(k). In this case, P(-3/5) = 0, which means that (-3/5) is a root of the polynomial. Therefore, (x + 3/5) must be a factor of P(x).

Step-by-step explanation:

To find out which of the given options is a factor of the polynomial P(x) when P(-3/5) = 0, we can use the Remainder Theorem.

According to the Remainder Theorem, if a polynomial P(x) is divided by (x - k), where k is a constant, then the remainder will be equal to P(k).

In this case, P(-3/5) = 0, which means that (-3/5) is a root of the polynomial. Therefore, (x + 3/5) must be a factor of P(x).

So, the correct answer is a) 3x+5