Factorization of a Quadratic Trinomial

Q. Use the identity (x + a)(x + b) to find the product of
(4x + 5)(4x + 1).
$\left[2Marks\right]$

Q. What is the expansion for the identity ${(a–b)}^2$?

1. $(a^2+b^2+ab)$
2. $(a^2-b^2-2ab)$
3. $(a^2+b^2–2ab)$
4. $a^2-b^2$

Q. The factors of $p^2+6p-16$ are __________.

1. (p-2)(p+8)
2. (p+2)(p+8)
3. (p+2)(p-8)
4. (p-2)(p-8)

Q. $Factorise:4y^2-12y+9$

1. $(7y-5)(7y-5)$

2. $(2y-3)(2y-3)$

3. $(5y-3)(5y-3)$

4. $(2y-5)(2y-5)$

Q.

One of the factors of $x^2-2x-15$ is _____.

1. x - 15

2. x-3

3. x+5

4. x+3

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.

Factorize: $x^2-7x+12$.

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

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.

Which of the following is/are the irreducible factor(s) of $3m^2+9m+6?$

1. 3

2. $m+2$

3. $m+3$

4. $m+1$

Q.

Which of the following is an irreducible expression?

1. 4p + 3

2. 6y

3. xy

4. 2$a^2$