Question

Factorise x³-13x²+32x-20 solution​

Answer 1

Step-by-step explanation:

f(x)=x³-13x²+32x-20

f(1)=1³-13(1)+32(1)-20

f(1)=1-13+32-20

f(1)=33-33

f(1)=0

(x-1) is the factor of given polynomial

divide x³-13x²+32x-20 by x-1

we get the quotient x²-12x+20

x²-10x-2x+20

x(x-10)-2(x-10)

(x-10)(x-2)

x=10 or x=2

Answer 2

Answer:

(x-10)(x-1)(x-2)

Step-by-step explanation:

• x³-13x²+32x-20=
• (x³-10x²)-(3x²-30x)+(2x-20)=
• (x-10)(x²-3x+2)=
• (x-10)(x²-x-2x+2)=
• (x-10)(x-1)(x-2)