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Which of the following polynomials has zeros at x = -4 and x = 7?
4x2 - 7x - 11, 4x2 - 49, 7x2 - 4x + 28, x2 - 3x - 28
Solution:
Given,
x = -4 and x = 7.
All the values of 'x' that make the polynomial equal to zero are called zeroes of a polynomial.
For a polynomial, there could be some values of the variable for which the polynomial will be zero. These values are called zeros of a polynomial.
The degree of the polynomial is the highest power of the variable x.
As we know that a standard polynomial of two degrees can be written as:
x2 - (sum of zeroes) x + (product of zeroes)
Sum of zeroes = 3.
Product of zeroes = - 28.
we can write the polynomial using two given zeros as:
x2 - 3x - 28.
Therefore, the polynomial is x2 - 3x - 28.
Which of the following polynomials has zeros at x = -4 and x = 7?
Summary:
The polynomial x2 - 3x - 28 has zeros at x = -4 and x = 7.
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