Factorization of a Quadratic Trinomial

Q.

Middle term break

Q.

Express the HCF of $468$ and $222$ as $468x+222y$, where $x$ and $y$ are integers.

Q. (2+X)(7-x)/(5-x)(4+X)=1

Q.

$\text{Factorise:}25+70x+49x^2$

1. $(5x+7)(5x+2)$

2. $(7x+5)(5x+3)$

3. $(3x+7{)}^2$

4. $(7x+5)(7x+5)$

Q. Simplify: $\frac{1-2x+x^2}{1-x^3}\times \frac{1+x+x^2}{1+x}$

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

Q. Question 2(i)
Factorise
$4p^2-9q^2$

Q. 3x/x+6-x/x+5=2

Q. Question 2(iv)
Factorise the following expressions
$-16z+20z^3$

Q. Factorize each of the following expressios:

$144a^2-289b^2$

Q. $9a^2-\frac{12}{5}a+\frac{4}{25}$ can be expressed as ____.

1. ${(2a-\frac{2}{5})}^2$
2. ${(a-\frac{5}{2})}^2$
3. ${(a-\frac{2}{5})}^2$
4. ${(3a-\frac{2}{5})}^2$

Q. Factorise:
2x² − 17x − 30

Q.

On dividing $\left(24x{y}^2\right)\left(z^2\right)$ by $6y{z}^2$, we get

1. 4xz

2. 4xy

3. 4yz

4. 4xyz

Q. Question 2(viii)
Factorise the following expressions
$-4a^2+4ab-4ca$

Q.

X-4/5(x+10)

Q.

Factorise y2 - 2y - 15

Q.

While factorizing x² - 5x + 6, the middle term can be split as the sum of ____________.

1. -2, -3

2. -2, 3

3. 2, -3

4. 2, 3

Q. Question 2(iii)
Factorise
$49x^2-36$

Q.

Question 92 (ii)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$4x^2-25y^2$

Q. Compare 7* 10^-6 and 129 *10^-7

Q.

Factorise:x² ​- x - 72

Q.

2x² - 11x + 15 when factorised gives _________.

1. (x - 3)(2x - 5)

2. (2x + 5)(x + 6)

3. (x + 5)(x + 6)

4. (x - 5)(x - 6)

Q.

(x + 2) is a factor of $x^4$ - 16.

1. True

2. False

Q.

x² + y² - 2xy

1. ( x + y)²

2. (x - y) ²

3. x² - y²

4. (x + y + 1)²

Q.

5x-2(2x-7)=2(3x-1)+7/2

Q. Factorise 2x power 2 +9x+10

Q. Question 2(iv)
Factorise
$16x^5-144x^3$

Q. Question 1(vi)
Factorise the following expressions
$121b^2-88bc+16c^2$

Q. Factorise:
x² + 15x + 56

Q. Question 2(i)
Factorise the following expressions
7x-42

Q. Factorise the expression: $2y^2-4y-30$

1. $(y-5)(y+3)$
2. $(y+5)(y-3)$
3. $(y+6)(y-4)$
4. $2(y-5)(y+3)$