Question

If p(x)=3xcube-2xsquare+6x-5, find p(2)

Answer 1

p(x) = 3x³-2x²+6x-5

put x = 2

p(2) = 3(2)³-2(2)²+6(2)-5
= 3×(8)-2(4)+12-5
= 3×8-8+12-5
= 24-8+12-5
= 24+4 -5
= 28-5 = 23

The Answer so required is 23 .

p(x) = 3x³-2x²+6x-5

p(2) = 3x³-2x²+6x-5

p(2) = 23 .

Thanks !!

Answer 2

$p(x) = 3x {}^{3} - 2x {}^{2} + 6x - 5 \\ p(2) = 3 \times 2 {}^{3} - 2 \times 2{}^{2} + 6 \times 2 \\ - 5 \\ p(2) = 3 \times 8 - 2 \times 4 + 6 \times 2 - 5 \\ \: \: \: = 24 - 8 + 12 - 5 \\ \: \: \: = 36 - 13 \\ \: \: \: = 23$