Question

> Find the value of K if (x-1) is a factor of p(x):
a) p(x) = 4x3 + 3x² - 4x +k
b) P(x) = kx2 + 3x - 1​

Answer 1

Step-by-step explanation:

x - 1 = 0

x = 1

a). p(1) = 4 × 3 + 3 (1)²- 4 × 1 + k

= 12 + 3 - 4 + k

k = 11

b). p(1) = k × 1 × 2 + 3 × 1 -1

= 2k +2

2k + 2 = 0

2k = -2

k = -1

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Answer 2

Answer:

Step-by-step explanation:

it is given that (x-1) is a factor then one root would be 1

a) p(1)=4(1)³+3(1)²-4(1)+k=0

           ⇒4+3-4+k=0

              ⇒-3=k

b) p(1)=k(1)²+3(1)-1=0

         ⇒k+3-1=0

         ⇒k=-2