Question

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find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficient of the polynomial.
a) p(x) =8x²-19x-15
b)q(x) =4√3x²+5x-2√3
c)f(x)=5x-4√3+2√3x²
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proper step by step solution needed​

Answer 1

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Let p(x) = 4√3x² +5x -2√3

4√3x² +8x -3x -2√3

4x (√3x +2) - √3(√3x +2)

(4x-√3) (√3x +2)

To find zeros, put p(x)= 0

(4x-√3)= 0 or (√3x +2)= 0

4x = √3 or √3x = -2

x= √3/4 or x = -2/√3

Hence,

zeroes of the polynomial are √3/4 and -2/√3.

Answer 2

HEY MATE!!!

p(x) = 4√3x² +5x -2√3

4√3x² +8x -3x -2√3

4x (√3x +2) - √3(√3x +2)

(4x-√3) (√3x +2)

Let p(x) be 0

(4x-√3)= 0 or (√3x +2)= 0

4x = √3 or √3x = -2

x= √3/4 or x = -2/√3

therefore , the zeroes of the polynomial are √3/4 and -2/√3.