Question

Verify if 2 , 3, and 4 are the zeroes of the cubic polynomial p(x) =x^3 - 3x^2- 10x +24 and also verify the relationship between the zeroes and the coefficient of p(x) .

Answer 1

Answer:

Solution :

Here, p(x)=x3=6x2+11x−6

⇒ p(1)=12−6(1)2+11(1)−6=1−6+11−6=0

p(2)=23−6(2)2+11(2)−6=8−24+22−6=0

and p(3)=33−6(3)2+11(3)−6=27−54+33−6=0

∴ 1,2 and 3 are zeroes of p(x).

Now, α+β+γ=1+2+3=6−−61=−coefficient ofx2coefficient ofx3

αβ+β+αγ=(1)(2)+(2)(3)+(3)(1)=+6+3=11

=111=coefficient ofxcoefficient of x3 Hence Verified.

Step-by-step explanation:

Mark as braimliests answer

Answer 2

Answer:

Here is the correct answer mate...

Thank you.☺