Question

Identify whether (x-3) is a factor of polynomial
x2-10x+21 or not​

Answer 1

Answer:

x

3

−3x+1)

x

5

−4x

3

+x

2

+3x+1

(x

2

−1

−

x

5

+

−

3x

3

−

+

x

2

−x

3

+3x+1

+

−

x

3

−

+

3x

+

−

1

2

Since remainder is non-zero.

Therfore,x

3

−3x+1 is not a factor of x

5

−4x

3

+x

2

+3x+1

Answer 2

Answer:

Zero of (x-3) = 3

If (x-3) is a factor of polynomial x²-10x+ 21 then p(x) = 0

p(x) = x² - 10x + 21

0 = (3)² - 10(3) + 21

0 = 9 - 30 + 21

0 = 30 - 30

0 = 0

Yes, (x-3) is a factor of polynomial x² - 10x + 21.

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