Question

X³ + 13x² +31x-45 there other factors

Answer 1

Answer:

ahajs,xagh64349

zad=5694$489=8

ax,964315=49456

Answer 2

Equation = x^3+13x^2+31x-45

By hit and trial method

let x=1

i.e (1)^2+ 13*(1)^2+31(1)-45=0

1st factor is (x-1)

BY LONG DIVISION METHOD

x^3+13x^2+31x-45/ x - 1

{Check the division in the picture}

q(x)= x^2+14x+4

= x^2+9x+5x+45

= x(x+9) 5(x+9)

=(x+5) (x+9)

Hence the three factors are

(x-1) (x+5) (x+9)

or x = 1 , -9 , -5

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