MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Factor of a Polynomial

The graph of ...

Question

The graph of a polynomial y = f(x), shown in Fig. 2.18. Find the number of real zeros of f(x).

Open in App

Solution

A real number is a zero of polynomial, if

In the above figure the curve intersects x-axis at one point and touches at one point

When a curve touches x-axis at one point, it means it has two common zeros at that point

Hence the number of real zeroes is

Suggest Corrections

thumbs-up

37

Similar questions

f (x) = x^{3}

. The graph of the polynomial is shown in the figure. Find the number of zeros of polynomial f(x).

Q. The graph of the polynomial f(x) = ax² + bx + c is as shown in Fig. 2.20. Write the value of b² − 4ac and the number of real zeros of f(x).

Q. In Fig. 1, the graph of a polynomial p (x) is shown. The number of zeroes of p (x) is

(a) 4

(b) 1

(c) 2

(d) 3

Q. A polynomial

y = f (x)

when represented on graph cuts

x - axis

at 2 points and

y - axis

at 3 points. What is the number of zeroes of

f (x)

Q. If a quadratic polynomial f(x) is factorizable into linear distinct factors, then what is the total number of real and distinct zeros of f(x)?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Factor of a Polynomial

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon