Question

Find the value of k if x-2is a factor of 4x3+3x2-4x+k​

Answer 1

Step-by-step explanation:

x-2=0

x=2

put the value in given equation

4x³+3x²-4x+k=0

4(2)³+3(2)²-4*2+k=0

32+12-8+k=0

36+k=0

k=-36

Answer 2

GIVEn

Find the value of k if x-2is a factor of 4x3+3x2-4x+k

SOLUTIOn

x-2is a factor of 4x3+3x2-4x+k

→ (x - 2) = 0

→ x = 2

Putting the value of x

→ 4x³ + 3x² - 4x + k = 0

→ 4(2)³ + 3(2)² - 4×2 + k = 0

→ 4 × 8 + 3 × 4 - 8 + k = 0

→ 32 + 12 - 8 + k = 0

→ 44 - 8 + k = 0

→ k + 36 = 0

→ k = - 36