Question

Factorise-:
3x3 - 3x2 – 17x + 30
PLZZ...

Answer 1

Answer:

33 - 17x

Step-by-step explanation:

3×3 - 3×2 - 17x + 30

9 - 6 - 17x + 30

33 - 17x

Answer 2

Question:

2x³ - 3x² - 17x + 30  

Answer:

let p(x) = 2x³ - 3x² - 17x + 30  

Constant term of p(x) = 30

Factors of 30 are (plus minus 1) (plus minus 2) (plus minus 3) (plus minus 5) (plus minus 6) (plus minus 10) (plus minus 15) (plus minus 30)

we find that p(x) = 2 is a zero of the polynomial.

2(2)³  -  3(2)²  - 17(2) + 30

 

⇒ (2 * 8) - (3 * 4) - 34 + 34  

⇒ 16 - 12 - 4 = 0

 

Then the polynomial is divisible by (x-2)

And we get,

[2x³  - 3x²  - 17x + 30]  \ div (x - 2)    

= 2x² + 1x - 15

Therefore,

2x³  - 3x²  - 17x + 30  

= (x - 2) (2x² + x - 15)

So,

(x - 2) (2x² + x  - 15)    

⇒ (x - 2) (x + 3) (2x - 5)