Question

Why are 1\4 and -1 zeroes of the polynomials p(x)=4x^+3x-1?

Answer 1

Answer:

Step-by-step explanation: First of all the symbols like p(x), g(x), f(x) means the given polynomial have variable x i.e the value of X will change but all other value are constant

NOW, zero of any polynomial means that value of variable on which whole polynomial becomes zero means p(x) will be zero

Here, if we consider the value of X as 1/4 then

P(1/4)= 4×(1/4)^2 +3×1/4 - 1

or 4×(1/16) + 3/4 - 1

or 1/4 + 3/4 - 1=0

Here p(x) =0 so it is zero of the polynomial

ON the other hand if we consider the value of X as - 1 then

P(-1)=4×(-1)^2 + 3(-1) - 1

Or 4×1 + - 3 - 1 =0

We observed here that on putting the value of X as 1/4 and - 1 who expression turns 0 so these are 0 of the given polynomial