Question

If p(5) ,= 0, then__________ is a factor of p(x) . (a) x-5 ( b) x+5. (c) 5x-1 (d)5x+1.​

Answer 1

Step-by-step explanation:

the correct answer is a) x-5 bcoz when we substitute the value of x=5 , we get 0.

thus it is a factor.

Answer 2

if p(5) = 0 then x - 5 is a factor.

p(x) refers to any Polynomial, if it is written as p(x) = 0 then 'x' refers to that value when the equation will be zero. To be more specific 'x' is referred as the zero of the polynomial p(x)

So, Here we are give p(5) = 0which means 5 is the zero of the polynomial.

If 5 is the value of x when p(x) will be 0 then one of the factors of the polynomial would be negative of the zero along with the variable.

Hence here the answer is option (a) x - 5

Equate the value of x as 5 and check if you get zero, then it's a factor.

x - 5 = 0

(5) - 5 = 0

Hence That's your Answer required.

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