Factorizing of Polynomials

Q. Factorize $3x^2-27$

1. $3(x+3)(x+3)$
2. $3(x-3)(x-3)$
3. $(x+3)(x-3)$
4. $3(x+3)(x-3)$

Q. For the polynomial $4x-6x^5+3x^2$, find the coefficient of the second term when this polynomial is written in standard form.

Q. Factorize the following quadratic polynomial by using the method of completing the square:

$q^2-10q+21$

Q.

How do you factor $3x^2+8x+4$ by using the grouping method?

Q. Simplify the polynomial expression and then write in standard form.
$(3+5x+7x^2+9x^3)$
$+(4+2x-3x^2-8x^3)$

1. $7+7x+4x^2+x^3$
2. $x^3+4x^2+7x+7$
3. $x^3-4x^2+7x+7$
4. $7+7x+4x^2-x^3$

Q. Which among the following is the standard form of the polynomial $2x^5-7x^4+8x^6-3x^9$ ?

1. $-3x^9+8x^6+2x^5-7x^4$
2. $8x^6-3x^9++2x^5-7x^4$
3. $8x^6-3x^9+2x^5+7x^4$
4. $-3x^9+8x^6+2x^5+7x^4$

Q. Factorize the polynomial expression $4x^2-3x-7$

1. $(4x-7)(x+1)$
2. $(4x-7)(x-1)$
3. $(4x+7)(x+1)$
4. $(4x+7)(x-1)$

Q.

Factorise $\frac{4x^2-4x+1}{2x-1}$.