CameraIcon

SearchIcon

MyQuestionIcon

1

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

Quadratic Polynomials

If a quadrati...

Question

If a quadratic polynomial f(x) is not factorizable into linear factors, then it has no real zero. (True/False)

Open in App

Solution

When polynomial is not factorizable then the curve does not touch x-axis. Parabola open upwards above the x-axis or open downwards below x-axis where or

Hence, if quadratic polynomial is not factorizable into linear factors then it has no real zeros. .

Suggest Corrections

thumbs-up

9

Similar questions

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)?

Q. If a quadratic polynomial f(x) is factorizable into linear distinct factor total number of real and distinct zeros of f(x) ?

Q. If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeros are coincident. (True/False).

x^{2} + 9

has no real zero

1

0

Q. Which quadratic polynomial can be factorized into a product of real linear factors?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Quadratic Polynomials

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon