Question

find zeros of following quadratic polynomial and verify relationship between zeros and the coefficients 4 x square - 4 x minus 3​

Answer 1

Step-by-step explanation:

given polynomial is,

4x² - 4x - 3 = 0

find the zeroes of the polynomial by factorization method

4x² - 4x - 3 = 0

4x² - 6x + 2x - 3 = 0

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

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

x = -1/2

OR

x = 3/2

•let us consider the roots of the polynomial are α and β

•compare the given polynomial with standard form of quadratic equation

ax²+bx+c= 0

4x² - 4x - 3 = 0

a = 4 , b = -4 , c = -3

•we know the relation between coefficients and roots of the quadratic polynomial, I. e

α + β = -b/a

(-1/2)+(3/2) = -(-4)/4

((-1 + 3)/2) = 1

2/2 = 1

1 = 1

And αxβ = c/a

(-1/2)(3/2)=-3/4

(-3/4)=(-3/4)

Answer 2

zjshdgs sjsjsjsjnedhgdbsbsyxbsmakzjsnsjznnzhznsnnsnznsnnsjsnzdnsjz mdajsmkzndnznsndnsnsm was dm