Factorisation
Trending Questions
Q. Factorise each of the following algebraic expressions:
(i) 3x+15 (ii) 2x2+5x (iii) 3x2y−6xy2
(i) 3x+15 (ii) 2x2+5x (iii) 3x2y−6xy2
Q. Factorise each of the following expression:
(i)a3x+a2(x–y)–a(y+z)–z
(ii)(x2+3x)2–5(x2+3x)–y(x2+3x)+5y
(i)a3x+a2(x–y)–a(y+z)–z
(ii)(x2+3x)2–5(x2+3x)–y(x2+3x)+5y
Q. Spot the mistake:
(3y+8)2=9y2+24y+64
(3y+8)2=9y2+24y+64
- 24y should be replaced by 48y
- 64 should be replaced by -64
- 9y2 should be replaced by 3y2
- There is no mistake in the given equation.
Q. Factorise: x4−(x−4)4
- 16[x−2][x2−4x+8]
- 16[x+2][x2−4x+8]
- 16[x−2][x2+4x+8]
- 32[x−2][x2−4x+8]
Q.
Find the roots of the quadratic equation √2x2+7x+5√2 = 0 using factorization method.
and –
and -
and
and
Q. If p(x)=x3−4x2+x+6, then show that p(3)=0 and hence factorise p(x)
Q. Match the following algebraic expressions with their factorised form.
- x(3x+5)
- (2x+6)2
- (x−4)(x+4)
- 5x(2x3+6x2+1)
Q.
Factor the expression:
Q. [9x2 + 18x]÷(x+2)
- 9x
- 18x
- 2x
- (x2+2)
Q.
Factor the expression:
Q. Match the following algebraic expressions with their factorised form.
- x(3x+5)
- (2x+6)2
- (x−4)(x+4)
- 5x(2x3+6x2+1)
Q. Solve: (x2−7x+12)÷(x−4)
- (x−4)
- (x−3)
- (x+4)
- (x+3)
Q.
Factorise 4a2b−12a2−16b+48
4xz
4xy
4xz
4xyz
Q.
Factorise (a−1)−(a−1)2+ab−b.
(a−1)(a+b)
(a−1)(2−a)
(a−1)(1−a+b)
(a−1)(2−a+b)
Q. Use the identity (x + a)(x + b) to find the product of
(2x + 5y)(2x + 3y).
[2 Marks]
(2x + 5y)(2x + 3y).
[2 Marks]
Q. Factorise each of the following algebraic expressions:
i) 3x+15 ii) 2x2+5x iii) 3x2y−6xy2
i) 3x+15 ii) 2x2+5x iii) 3x2y−6xy2
Q. a2−b2=(a+b)(a−b) can be used to factorise the expression 36x2−25.
- False
- True
Q.
Factorise .
Q.
State whether the following are true or false.
If P=
- True
- False
Q. Factorize the following expression:
(2x+1)2−9x4
(2x+1)2−9x4
Q.
How do you factor
Q.
Factor the expression:
Q. Factorise the following polynomial.
xy(z2+1)+z(x2+y2)
xy(z2+1)+z(x2+y2)
Q. Solve: 8x2−72xy+12x
Q. Factorise each of the following algebraic expressions:
(i)3x+15 (ii)2x2+5x (iii)3x2y–6xy2
(i)3x+15 (ii)2x2+5x (iii)3x2y–6xy2
Q. Evaluate:
(m2−11m−42)÷(m+3)
(2 Marks)
(m2−11m−42)÷(m+3)
(2 Marks)