(C) To evaluate $(1002)^{2}$,we can express $1002$ as $(1000 + 2)$.Using the algebraic identity $(a + b)^{2} = a^{2} + 2ab + b^{2}$,where $a = 1000$ a

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(C) To evaluate $(1002)^{2}$,we can express $1002$ as $(1000 + 2)$.Using the algebraic identity $(a + b)^{2} = a^{2} + 2ab + b^{2}$,where $a = 1000$ and $b = 2$:$(1000 + 2)^{2} = (1000)^{2} + 2(1000)(2) + (2)^{2}$$= 1000000 + 4000 + 4$$= 1004004$.

Class 9 Mathematics Polynomials Mix Examples - Polynomials

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Evaluate $(1002)^{2}$.

A
$1005041$
B
$1003665$
C
$1004004$
D
$100254$

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Evaluate $(1002)^{2}$.

Similar Questions

Factorise the following quadratic polynomial by splitting the middle term:$6 x^{2}+7 x-20$

Write the degree of the following polynomial:$7 x^{3}-9 x^{2}+4 x-22$

Find the value of the following polynomial at the indicated value of the variable:$p(x) = x^{2} + 5x - 24$ at $x = 3$

Is $x+1$ a factor of $4x^3 + 7x^2 - 2x - 5$ or not?

Find the quotient and the remainder when $2x^2 - 7x - 15$ is divided by $2x + 3$.

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Factorise the following quadratic polynomial by splitting the middle term:
$6 x^{2}+7 x-20$

Write the degree of the following polynomial:
$7 x^{3}-9 x^{2}+4 x-22$

Find the value of the following polynomial at the indicated value of the variable:
$p(x) = x^{2} + 5x - 24$ at $x = 3$