Factorize:4x2 – x – 3

4x2 – 1x – 3 = 4x2 – (4 – 3)x – 3= 4x2 – 4x + 3x – 3= 4x(x – 1) + 3(x – 1)= (4x + 3)(x – 1)

Q6 of 90 Page 31

Factorize:
4x² – x – 3

4x² – 1x – 3 = 4x² – (4 – 3)x – 3

= 4x² – 4x + 3x – 3

= 4x(x – 1) + 3(x – 1)

= (4x + 3)(x – 1)

If (x + 1) and (x – 1) are factors of the polynomial x⁴ + ax³ – 3x² + 2x + b then find the value of a and b.

Factorize:

3x² + 7x + 2

Factorize:

12x² – 7x + 1

Factorize:

6x² + 5x – 6

Questions · 90

3. Polynomials

1 2 3 4 5 6 7 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 4 1 1 1 1 1 2 3 4 1 1 1 1 2 2 2 2 3 4 5 6 6 6 6 7 7 7 7 7 7 1 1 1 1 1 1 2 2 2 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 8 8 8 8 9 10 10 11 12 12