MyQuestionIcon

1

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

Factor Theorem

Why whenever ...

Question

Why whenever - 5 is a zero of a polynomial f(x) then x+5 is its factor?

Open in App

Solution

If we are given that x+5 is the factor of polynomial , so we will set x+5=0
when we will subtract both sides by 5 we will get

x+5-5=0-5
x= -5 so this way we got zero as x=-5 .

Suggest Corrections

thumbs-up

0

Similar questions

Q. When a polynomial f(x) is divided by (x^2-5) and the quotient is x^2-2x-3 and remainsre is zero. Find the polynomial and all its zeroes.

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x)

f(x) = $3 x^{4} + 17 x^{3} + 9 x^{2}$ - 7x - 10; g(x) = x + 5

\sqrt{5} and - \sqrt{5}

are two zeroes of the polynomial x³ + 3x² − 5x − 15, then its third zero is

(a) 3
(b) −3
(c) 5
(d) −5

x - \sqrt{5}

is a factor of polynomial

x^{3} - 3 \sqrt{5} x^{2} - 5 x + 15 \sqrt{5}

, find all zeroes of the polynomial.

Q. Verify that
(i) 4 is a zero of the polynomial, p(x) = x - 4.
(ii) -3 is a zero of the polynomial, q (x) = x + 3.
(iii)

\frac{2}{5}

is a zero of the polynomial,

f (x) = 2 - 5 x

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Factor Theorem

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon