Flag 10 grade maths> 3. for which values of a and b are the ze...
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3. for which values of a and b are the zeroes of q (x) =x3 +2x2+a also the zeroes of tyhe polynomial p(x) = x5 – x4 – 4x3 + 3x2 +3x +b ? which zeroes of p(x) are not the zeroes of q(x) ?

Aiden Mathew Denny , 7 Years ago
Grade 10
anser 1 Answers
Vansh

Last Activity: 7 Years ago

Indirectly they are telling u that p(x) is divisible by q(x).If u divide p(x) by q(x) u will get a remainder (-(a+1)x^2)+3(a+1)x+b-2a=0.As the remainder is 0, -(a+1)=0,b-2a=0By solving we get a=(-1) b=2In the division we get a quotient (x^2)-3x+2 Zero of this polynomial is 2,1Thus 2,1 are zeroes of p(x) but not of q(x)

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