How many zeros does the polynomial (x – 3)2 – 4 have? Also, find its zeroes.
Answers
Answer:
Given polynomial is (x – 3)2 – 4
Now, expand this expression.
=> x2 + 9 – 6x – 4
= x2 – 6x + 5
As the polynomial has a degree of 2, the number of zeroes will be 2.
Now, solve x2 – 6x + 5 = 0 to get the roots.
So, x2 – x – 5x + 5 = 0
=> x(x – 1) -5(x – 1) = 0
=> (x – 1)(x – 5) = 0
x = 1, x = 5
So, the roots are 1 and 5.
Step-by-step explanation:
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .
the polynomial has 2 zeroes as it is quadratic equation .