Question

Fill in the Blanks (1 Mark)
4. Zero of the polynomial p(z) = az + b-c;z not equal to zero
is​

Answer 1

Answer:

Zero of the polynomial p(z) = az + b-c;z not equal to zero

is​ 0.

Step-by-step explanation:

Step : 1   Zeroes of the polynomial is the value of the variable for which the polynomial becomes 0 i.e. p(x)=0.

Here, p(x)=ax.

Putting p(x)=0,  we get,

ax=0

or,      x=0                  (∵a=0)

Zero of the polynomial p(z) = az + b-c;z not equal to zero

is​ 0.

Step : 2   The polynomial equation p(x) = 0 has 1 as its root. The polynomial equation p(x) = x - 1 = 0 has OR 1 as its zero. The coefficients of a zero polynomial, which is a constant polynomial, are all equal to 0. The value of the variable that brings a polynomial to zero is referred to as its zero. As a result, any real integer is the zero of the zero polynomial.

Step : 3 A polynomial may produce zero for a small number of (one or more) possible values of the variable. These numbers are referred to as a polynomial's zeros. We can state that a polynomial's zeroes are defined as the locations where the polynomial equals 0 overall. A integer "a" such that p(a) = 0 is the value zero of the polynomial p(x). If p(x) is divided by the linear polynomial x - a, then the result is p, where p(x) is a polynomial of degree higher than or equal to 1 and an is any real integer (a).

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Answer 2

Answer:

The correct answer is $z = \frac{c-b}{a}$

Step-by-step explanation:

Given: $p(z) = az + b-c$

To find: zero of the polynomial

Now, to find the zero of the polynomial,

$p(z) = 0$

$az+ b - c = 0$

$az= c-b$

$z = \frac{c-b}{a}$

Therefore, zero of the polynomial is =

$z = \frac{c-b}{a}$

• A polynomial is defined as an expression that is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable)
• The graph can be used to find the zeros of a polynomial by monitoring the locations where the graph line intersects the $x-axis.$
• The zeros of the polynomial are the x-coordinates of the sites where the graph intersects the x-axis.

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