Question

if (x+ 1 ) and (x+2) are factors of p(x)=x cube + 10 x square+ mx +n.find the value of m and n​

Answer 1

Step-by-step explanation:

p(x) = x³+10x²+mx+n. ..... (x+1) and (x+2) are the factors. x+1=0. x= -1. (-1)³ + 10(-1)²+ m(-1) +n. = -1+10-m+n. =9-m+n. m=9+n. . ... . = -1+10-9+n+n. =9-9 +2n. 2n=0. n=0. ....... therefore m= 9+0. =9

Answer 2

Step-by-step explanation:

Factor theorem : P(x) be any polynomial of degree greater than 1 and (x-a) is another linear polynomial then if (x-a) is a factor of p(x) then p(a)=0 and vice-versa