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Standard X

Mathematics

Factor Theorem

If a polynomi...

Question

If a polynomial $p (x) = x^{2} - 4$ is divided by a linear polynomial $(x - 2)$ then the remainder is

2

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Solution

The correct option is B $0$
By using $a^{2} - b^{2} = (a + b) (a - b)$
We can write $p (x) = (x - 2) (x + 2)$
We can see $(x - 2)$ term in polynomial $p (x)$
If we divide $p (x)$ by $(x - 2)$ then the remainder will be 0

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If a polynomial p(x)=x2−4 is divided by a linear polynomial (x−2) then the remainder is

The correct option is B 0By using a2−b2=(a+b)(a−b)We can write p(x)=(x−2)(x+2)We can see (x−2) term in polynomial p(x) If we divide p(x) by (x−2) then the remainder will be 0

If a polynomial $p (x) = x^{2} - 4$ is divided by a linear polynomial $(x - 2)$ then the remainder is

The correct option is B $0$
By using $a^{2} - b^{2} = (a + b) (a - b)$
We can write $p (x) = (x - 2) (x + 2)$
We can see $(x - 2)$ term in polynomial $p (x)$
If we divide $p (x)$ by $(x - 2)$ then the remainder will be 0