find the quardratic polynomial whose zeroes are-3 and -5
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the factor must be [x+3][x+5]
then the polynomial is x^2+8x+15
then the polynomial is x^2+8x+15
parasusri:
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Answered by
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Let alpha =-3 and beta =-5
Sum of zeroes = -3 +(-5)
=-3-5
=-8.
Product of zeroes =-3×(-5)
=15.
K [x^2-(Sum of zeroes )x -Product of zero]
K [x^2-(-8)x+(15)]
k [x^2+8x+15]
k[x^2+8x+15/1]
1 [x^2+8x+15/1]
Hence the required polynomial is x^2+8x+15.
Hope it is correct.
Sum of zeroes = -3 +(-5)
=-3-5
=-8.
Product of zeroes =-3×(-5)
=15.
K [x^2-(Sum of zeroes )x -Product of zero]
K [x^2-(-8)x+(15)]
k [x^2+8x+15]
k[x^2+8x+15/1]
1 [x^2+8x+15/1]
Hence the required polynomial is x^2+8x+15.
Hope it is correct.
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