Question

The graph of nth order polynomial
cuts x-axis at how many points?
​

Answer 1

$\sf { \underline{SOLUTION}}$

TO DETERMINE

The number of times the graph of nth order polynomial

cuts x-axis

CONCEPT TO BE IMPLEMENTED

POLYNOMIAL

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

DEGREE OF A POLYNOMIAL

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

COEFFICIENT OF POLYNOMIAL

Coefficient of polynomials is the number multiplied to the variable

EVALUATION

The zero of a polynomial is the the value of x for which p(x) = 0

Graphically, the zero of a polynomial is the Abscissa of the point where the graph of the polynomial cut x axis

More precisely, Zero of polynomial p(x) is x-coordinate of point where graph of p(x) intersects x-axis

Since the given polynomial is a polynomial of order n

Hence it cuts X axis n number of times

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. The graph of polynomial p(x) crosses the X-axis at (-4,0). What is the zero of p(x)?

https://brainly.in/question/24815693

2. Write the degree of the given polynomial: 5x³+4x²+7x

https://brainly.in/question/5714606