Define : 'Zero of the Polynomial' With examples.

Then, Zero of the Polynomial 1 + 2x + 3 + 4x + 5 + 6x + 7 is _______

1) -3/4

2) 4/3

3) -4/3

4) 3/4

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Solution

The zero of the polynomial is defined as any real value of x, for which the value of the polynomial becomes zero.

A real number k is a zero of a polynomial p(x), if p(k) = 0.
eg if p(x) = 3x + 5
then zero of polynomial is found by putting p(x) = 0
3x +5 = 0
x = -5/3
1+2x +3 + 4x + 5 + 6x + 7 =0
12x + 16 = 0
x = -4/3

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