Question

2 is one of the zeros of the polynomial p(x)= x²-6x+8
(TRUE OR FALSE)​

Answer 1

Answer:

yes, 2 is one of the zeros of given polynomial.

Step-by-step explanation:

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Answer 2

SOLUTION

TO CHECK

True / False below statement

2 is one of the zeros of the polynomial

p(x) = x² - 6x + 8

EVALUATION

Here the given polynomial is

p(x) = x² - 6x + 8

The above polynomial is a quadratic polynomial

So it has two zeroes

We find the zeroes as below

For Zero of the polynomial p(x) we have

p(x) = 0

$\displaystyle \sf{ \implies {x}^{2} - 6x + 8 = 0}$

$\displaystyle \sf{ \implies {x}^{2} - (4 + 2)x + 8 = 0}$

$\displaystyle \sf{ \implies {x}^{2} - 4 x - 2x + 8 = 0}$

$\displaystyle \sf{ \implies x(x - 4) - 2(x - 4) = 0}$

$\displaystyle \sf{ \implies (x - 4) (x - 2) = 0}$

x - 4 = 0 gives x = 4

x - 2 = 0 gives x = 2

So the zeroes of the polynomial are 2 and 4

Therefore one of zeroes is 2

Hence the statement is TRUE

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