Question

(x-3)(x-4)^2(x-5)-6 factorise the polynomial

Answer 1

Step-by-step explanation:

(x-3)(x-4)^2(x-5)-6

(x-4)² means

(x-4)(x-4)

so therefore it will

multiplying

(x-3) with (x-4)

and (x-4) with (x-5)-

so it will be

x(x-4)-3(x-4) & x(x-5)-4(x-5)-6

so it will be

x²-4x-3x = x²-5x-4x+20-6

so it will be

x² & x²cancel

so therefore

-x= -x+14

so therefore -x,-x cancel

so therefore 14

14 is the answer biro

Answer 2

(x-3)(x-4)²(x-5)-6

= (x-3)(x²-8x+16)(x+5)-6

= ( x³-8x²+16x-3x²+24x-48 )(x+5-6)

= (x³-11x²+40x-48)(x-1)

= x⁴-11x³+40x²-48x-x³+11x²-40x+48

= x⁴-12x³+51x²-88x+48

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