How many zeros does the polynomial (x – 3)2 – 4 have? Also, find its zeroes. About the author Kennedy
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Answer: [tex]\huge\bold{\textbf{\textsf{{\color{Black}{αɴѕωєя}}}}}[/tex] 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. Reply
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 .
Answer:
[tex]\huge\bold{\textbf{\textsf{{\color{Black}{αɴѕωєя}}}}}[/tex]
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.