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If the zeros of the polynomial f(x)= x^3-3x^2+x+1 are (a-b), a and (a+b), find a & b.

Posted by Kajal Kansal 4 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

King?Adithya H. M.. 4 years, 10 months ago

Prakash 13:33 Hey, glad to know that you're learning from BYJU'S. For more help you may chat here. Student 13:33 If the zeros of the polynomial f(x)= x^3-3x^2+x+1 are (a-b), a and (a+b), find a & b. Read New message Prakash 13:34 Kindly allow me a minute or two to check for relevant answers to your question. Please be online. Prakash 13:35 ANSWER 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=± 2

Gaurav Seth 4 years, 10 months ago

sum of the zeroes = (a-b) + (a+b) + a = 3a i.e. 3a = - b/a

or 3a=3

or a=1

product of the zeroes = (a-b)*(a+b)*a= a³-ab² i.e. 1 - b² = c/a (by putting the value a=1)

or b² =2

or b = +-root2

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This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

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