Question

if (x+2) and (x-1) are the factors of (xcube + 10xsquare + mx + n) , then find the value of m and n​

Answer 1

Answer:

as per your your question ,

Step-by-step explanation:

in first case ,

if , p(x) = x cube + 10x square + mx + n

and, g( x)= x +2

so,

x = -2

then,

p(-2)= (-2) cube + 10(-2 square) + m(-2) + n

so,

-8 + 40 + -2m + n =0

32 -2m + n

n= 2m -32 ....... (i)

in other case,

p(x)= x cube + 10 (x square ) + MX + n

and,

g(x ) = x-1

so. x =1

then,

p(1) = 1 cube + 10 (1 square ) + MX + n

so,

1 + 10 + m + n = 0

then,

11 + m + 2m -32 =0. { by using (i)}

so,

3m =21

m= 7

so, n= 2m -32

n= 2(7) -32

n = 14 -32

n= -18

hence,

m =7 and n = -18

Answer 2

Answer:

the value of m is 7 and n is minus 18.

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