Question

If (x +6) is a factor of x2 –x + p, then the value of p is ________.
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Answer 1

${\large{\underbrace{\underline{\bf{Correct Question:-}}}}}$

If (x + 6) is a factor of x² - x + p, then what is the value of 'p'?

${\large{\underbrace{\underline{\bf{Answer:-}}}}}$

x + 6 = 0

x = -6 (By factor theorem)

Substituting the value of 'x' in the given polynomial.

(-6)² - (-6) + p = 0

36 + 6 + p = 0

42 + p = 0

p = -42

Hope this helps uh! ♡

Answer 2

Answer :-

→ x + 6 = 0

→ x = -6 (By factor theorem)

• Substituting the value of 'x' in the given polynomial.

↝(-6)² - (-6) + p = 0

↝36 + 6 + p = 0

↝42 + p = 0

↝p = -42 Ans.