Question

if the zeros of the polynomial x cube plus 3 X square + X + 1 hour a minus b a + b find a and b​

Answer 1

Answer:

Step-by-step explanation:a−b,a,a+b are zeroes of x  

3

−3x  

2

+x+1

⇒a−b+a+a+b= sum of zeroes = 3

⇒3a=3

⇒a=1

(a−b)(a)(a+b)= product of zeroes =−1

⇒(1−b)(1+b)=−1

⇒1−b  

2

=−1

⇒b  

2

=2

⇒b=±  $\sqrt{2}$

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