Question

find the zeroes of the polynomial by factorisation method and verify the relation between the zeroes and coefficient of polynomials p(x)=4ײ+5π2×-3​

Answer 1

Step-by-step explanation:

Correct option is

A

−1,−

5

7

Let f(t)=5t

2

+12t+7.

Comparing it with the standard quadratic polynomial ax

2

+bx+c, we get,

a=5, b=12, c=7.

Now, 5t

2

+12t+7

=5t

2

+5t+7t+7

=5t(t+1)+7(t+1)

=(t+1)(5t+7).

The zeros of f(t) are given by f(t)=0.

=>(t+1)(5t+7)=0

=>t+1=0 or 5t+7=0

=>t=−1 or t=

5

−7

.

Hence the zeros of the given quadratic polynomial are −1,

5

−7

.

Verification of the relationship between the roots and the coefficients:

Sum of the roots =−1+(

5

−7

)