Grade 1210 grade maths
How many zeros does the polynomial (x – 3)2 – 4 can have? Also, find its zeroes.
How many zeros does the polynomial (x – 3)2 – 4 can have? Also, find its zeroes.
1 Answer
Harshit Singh
Dear Student
Given equation is (x – 3)^2– 4
Now, expand this equation.
=> x^2+ 9 – 6x – 4
= x^2– 6x + 5
As the equation has a degree of 2, the number of zeroes will be 2.
Now, solve x^2– 6x + 5 = 0 to get the roots.
So, x^2– 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.
Thanks
Given equation is (x – 3)^2– 4
Now, expand this equation.
=> x^2+ 9 – 6x – 4
= x^2– 6x + 5
As the equation has a degree of 2, the number of zeroes will be 2.
Now, solve x^2– 6x + 5 = 0 to get the roots.
So, x^2– 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.
Thanks
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