find all the zeros of 3x^(4)+6x^(3)-2x^(2)-10x-5 if two zeroes are -1 and sqrt((5)/(3))
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Answer:
p(-1) = 0,p(5/3) = 23.703
Step-by-step explanation:
Given,
3x⁴+6x³-2x²-10x-5
Now consider,
p(-1) = 3(-1)⁴+6(-1)³-2(-1)²-10(-1)-5
= 3(1)+6(-1)-2(1)-10(-1)-5
= 3-6-2+10-5
= -5+5
:.p(-1) = 0
Now consider,
p(5/3) = 3(5/3)⁴+6(5/3)³-2(5/3)²-10(5/3)-5
= 3(625/81)+6(125/27)-2(25/9)-10(5/3)-5
= (1875/81)+(750/27)-(50/9)-(50/3)-5
= 1875+2250-450-1350-405/81
= 1920/81
:. p(5/3) = 23.703.
I hope it helps you.
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