Factorisation of Trinomials by Splitting Middle Term

Q.

Factorize: $x^3+x-3x^2-3$.

Q.

How do you factor completely: $16{\mathrm{x}}^2+40\mathrm{x}+25$?

Q.

Find the factors of $x^2+8x+16$ by splitting the middle term.

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

2. $(x+2)(x+4)$

3. $(x+3)(x+3)$

4. $(x+4)(x+4)$

Q.

Find the factors of $x^2+18x+80$ by splitting the middle term.

1. $(x+10)(x+8)$

2. $(x+11)(x+8)$

3. $(x+10)(x+10)$

4. $(x+9)(x+8)$

Q. Factorize : $x^2-8x+16$

1. $(x-4)(x-5)$
2. $(x-2)(x-4)$
3. $(x-4)(x-4)$
4. $(x-4)(x-3)$

Q.

Factorize $x^3$ + $2x^2$ – 4x + 1 using synthetic division method.

Q.

Factors of $x^6-y^6$ is:

1. $(x-y)(x+y)$

2. $(x^2+y^2-xy)$

3. $(x^2+y^2+xy)$

4. All of the above

Q. Factorise by splitting the middle term.

1. x = 5, 10
2. x = 2, 25
3. x = -5, 10
4. x = -5, -10

Q.

State true or false.

Factorising of the polynomial $x^2+5x-6$ can be done only if the divisor is given.

1. True

2. False

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.

Find the factors of $x^2+22x+112$ by splitting the middle term.

1. $(x+16)(x+3)$

2. $(x+9)(x+8)$

3. $(x+11)(x+8)$

4. $(x+14)(x+8)$