How many zeros does the polynomial p-x- - 4x2 ndash- 12x - 9 have- nbsp-

Dear Student, the zeros are 3/2 and nbsp;3/2 .as by splitting the middle term we get, 4x2 6x 6x +9 2x(2x 3) 3 (2x 3) (2x 3)(2x 3) x = 3/2 and x=3/2 or Y ...

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Byju's Answer

Standard IX

Mathematics

Degree of a Polynomial

How many zero...

Question

How many zeros does the polynomial p(x) = 4x² – 12x + 9 have?

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Solution

Dear Student,
the zeros are 3/2 and 3/2 .as by splitting the middle term we get,
4x2 - 6x -6x +9
2x(2x-3) - 3 (2x-3)
(2x-3)(2x-3)
x = 3/2 and x=3/2
or
You can directly say ,as the degree of the polynomial is 2 so it has two zeroes.

Regards.

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How many zeros does the polynomial p(x) = 4x2 – 12x + 9 have?

Dear Student, the zeros are 3/2 and 3/2 .as by splitting the middle term we get, 4x2 - 6x -6x +9 2x(2x-3) - 3 (2x-3) (2x-3)(2x-3) x = 3/2 and x=3/2 or You can directly say ,as the degree of the polynomial is 2 so it has two zeroes. Regards.

How many zeros does the polynomial p(x) = 4x² – 12x + 9 have?

Dear Student,
the zeros are 3/2 and 3/2 .as by splitting the middle term we get,
4x2 - 6x -6x +9
2x(2x-3) - 3 (2x-3)
(2x-3)(2x-3)
x = 3/2 and x=3/2
or
You can directly say ,as the degree of the polynomial is 2 so it has two zeroes.

Regards.