Question

8.
quadratic
Find the zeroes of the following
polynomial.
0 X--6
X-5x + 4

Answer 1

Answer:

x = 1 , 4

Note:

★ The possible values of the variable for which the polynomial becomes zero are called its zeros.

★ A quadratic polynomial can have atmost two zeros.

★ To find the zeros of the given polynomial , equate it to zero .

★ If A and B are the zeros of the quadratic polynomial p(x) = ax² + bx + c ; then ;

• Sum of zeros , (A+B) = -b/a

• Product of zeros , (A•B) = c/a

Solution:

Here,

The given quadratic polynomial is ;

x² - 5x + 4 .

Let's find the zeros of the given quadratic polynomial by equating it to zero.

Thus,

=> x² - 5x + 4 = 0

=> x² - 4x - x + 4 = 0

=> x(x - 4) - (x - 4) = 0

=> (x - 4)(x - 1) = 0

=> x = 1 , 4

Hence,

The required answer is :

x = 1 , 4