Question

4. Factorise x^3
- 23x^2 + 142x – 120.

5. Solve the equation 2x + 1 = x – 3, and represent the solution(s) on
(i) the number line,
(ii) the

Cartesian plane

7. Without actual division, prove that 2x^4 – 6x^3 +3x^2+3x – 2 is exactly divisible by
x
^2– 3x + 2.

Plz answer the question.
And if you don't you don't write the wrong answer plz. ​

Answer 1

Answer

x

3

−23x

2

+142x−120

=x

3

−x

2

−22x

2

+22x+120x−120

=x

2

(x−1)−22x(x−1)+120(x−1)

=(x−1)(x

2

−22x+120)

=(x−1)[x

2

−10x−12x+120]

=(x−1)[x(x−10)−12(x−10)]

=(x−1)(x−10)(x−12)