Question

find the zeroes of polynomial and verify relation between co efficient and zeroes: 6x^2-3-7x​

Answer 1

Answer:

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Answer 2

$\bf\underline{\underline{\green{SOLUTION:-}}}$

Question

• find the zeroes of polynomial and verify relation between co efficient and zeroes: 6x²-3-7x

Given

• 6x²-3-7x

To Calculate

• Zeros and Verify relationship

Explanation

p(x) = 6x²-3-7x

➺ 6x²-7x-3 =0

➺ 6x²-(9-2)x-3=0

➺ 6x²-9x+2x-3=0

➺ 3x(2x-3)+1(2x-3)=0

➺ (2x-3)(3x+1)=

➺ 2x-3=0,3x+1=0

➺ x=3/2,x=-1/3

☆ Sum of zeros = -b/a

➺ 3/2+(-1/3) = -(-7/6)

➺ 3/2-1/3 = 7/6

➺ (9-2)/6 = 7/6

➺ 7/6 = 7/6

☆ Product of zeros = c/a

➺ 3/2×(-1/3)= -3/6

➺ -3/6 = -3/6

$\bf\underline{\underline{\red{Hence\:Verified ! }}}$

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