CBSE Class 10 Answered
Find the product of the quadratic polynomial
Find a quadratic polynomial whose zeroes are
and ![fraction numerator 2 minus square root of 5 over denominator 2 end fraction](https://www.topperlearning.com/public/wiris/ckeditor4/plugins/ckeditor_wiris/integration/showimage.php?formula=8ebce798910bcb32aab473fdda83a947)
Asked by kmravibhat | 20 Mar, 2019, 18:04: PM
I understand user wants zeros of polynomial 3x2 +5x -2
3x2 +5x -2 = 0
3x2 +6x -x -2 = 0
3x(x+2) -1(x+2) = (3x -1) (x+2) = 0
hence zeros of polynomial or roots of polynomial are (1/3) and -2
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If α and β are roots of polynomial, then the polynomial is x2 -(α+β)x + αβ = 0
let α = (2+√5)/2 and β = (2-√5)/2 hence (α+β) = 2 and αβ = (4-5)/4 = -1/4
hence polynomial is x2 -2x -(1/4) = 0 or 4x2 -8x -1 = 0
Answered by Thiyagarajan K | 20 Mar, 2019, 20:44: PM
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