Question

if x-2 is a factor of x^3-9x^2+2x+m Value of m=?

Please answer fastly​

Answer 1

$\huge\red{SOLUTION:-}$

★ Answer:-

→ m = 24.

★ Step-by-step explanation:-

We have,

x-2 as a factor of the given polynomial.

=> x-2 = 0

=> x= 2

Let, p(x) = x³ - 9x² + 2x + m

Now,

On substituting the value of x in the given polynomial, we get,

(2)³ - 9(2)² + 2(2) + m = 0

=> 8 - 36 + 4 + m = 0

=> -24 + m = 0

☞ m = 24

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$<marquee>★Hope it helps★$