Question

Is (3 x - 4) is a factor of PX is equal to 6 x cube - 11 X square + kx - 20 find k

Answer 1

Answer:

3x -4= 0

3x = 4

x= 4/3

put x= 4/3 in 2 x^3 - 11 x^2 + kx -20

2( 4/3)^3 - 11( 4/3)^2 + 4k/3 -20= 0

128/27 - 176/9 + 4k/3 -20= 0

128 - 528 + 36 k - 540 = 0

-400 -540 +36k = 0

-940= -36k

k = 940/36 = 235/9= 26.1

Step-by-step explanation:

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Answer 2

Answer:

∴p(x)=4/3

∴ 6(4/3)^3 - 11(4/3)^2 +k(4/3) - 20 = 0

∴6(64/27) - 11(16/9) +k (4/3) - 20 = 0

∴ 384-528+36k-540k/27=0

∴-648k/27=0

∴-7/3=k