Question

What is the zero of polynomial P(x)= x²-9x+10

Answer 1

Answer:

x = 10 , -1

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 .

★ In order to find the zeros of any polynomial , equate it to zero and then find the possible values of variable .

Solution:

Here,

The given quadratic polynomial is ;

p(x) = x² - 9x - 10

We need to find the zeros of the given quadratic polynomial p(x) .

Thus,

Let's equate the polynomial p(x) to zero and find the values of variable x .

=> p(x) = 0

=> x² - 9x - 10 = 0

=> x² - 10x + x - 10 = 0

=> x(x - 10) + (x - 10) = 0

=> (x - 10)(x + 1) = 0

=> x = 10., -1

Hence ,

x = 10 , -1