Question

3.
Find the zeroes of the polynomial p(x) = x2 - 4x + 3 and verify the relationship between zeroes and
coefficients.
Find the zeroes of the quadratic polynomial x+ 7x + 10, and verify the relationship between the
zeroes and the coefficients.
4.​

Answer 1

Answer:

Check below

Step-by-step explanation:

The given quadratic polynomial is,

p(x) =4x² - 4x - 3

=> 4x² - 6x + 2x - 3

=> 2x( 2x -3) + 1(2x + 3)

=> (2x + 1) (2x -3)

p(x) = 0

(2x + 1) = 0 or (2x-3) = 0

x=-1/2 or x= 3/2

Hence, -1/2 and 3/2 are the zeroes of p(x).

Sum of zeroes = -1/2 + 3/2 = 2/2 = 1 = Coefficient of x / Coefficient of x²

Product of zeroes = (-1/2)(3/2) = -3/4 = Constant term/ Coefficient of x²

Hope this would help you!!

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Answer 2

let x be (1)

= x^2 - 4x + 3

= 1^2 - 4×1 + 3

= 1 - 4 + 3

=4 - 4

=0