Question

If -2 is a zero of f(x) = x3

+ 13x2

+ 32x + 20, find its other zeroes

Answer 1

Hey......!!! here is ur answer.....☺️☺️☺️

Given that, the function

f(x) = x³+13x²+32x+20

f(x) = x³+(2x²+11x²)+(22x+10x)+20

On removing brackets.....

f(x) = x³+2x²+11x²+22x+10x+20

f(x) = x²(x+2)+11x(x+2)+10(x+2)

f(x) = (x+2)(x²+11x+10)

f(x) = (x+2)(x²+10x+x+10)

f(x) = (x+2){x(x+10)+1(x+10)}

f(x) = (x+2)(x+1)(x+10)

Thus the required zeroes of the following function = –2, –1 & –10

zero –2 is already given then other zeroes of this function are –1 and –10.

I hope it will help you.......✌️✌️✌️