Question

If (x-1) is a factor of 2x² + 8x + 3x +K
then find the value of k​

Answer 1

Answer:

k = -9

Step-by-step explanation:

x-1 = 0

x = -1

Given Polynomial;

p(x) = 2x² + 8x + 3x +k

Value of x;

x = -1

Substitute the Value of x with x;

p(-1) = 2(-1)² + 8(-1) + 3(-1) + k

p(-1) = 2 + (-8) + (-3) + k

p(-1) = 2 - 8 - 3 + k

p(-1) = 9 + k

p(-1) = 9 + k

Hence, k = -9...

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Answer 2

Explation: x-1 = 0

x = -1

Given polynomials:-

p(x)=2x²+8x+3x+k

value of x,

x = -1

Subsitute the value of x with x

p(-1) = 2(-1)² + 8(-1) + 3(-1) + k

p(-1) = 2 + (-8) + (-3) + k

p(-1) = 2 - 8 - 3 + k

p(-1) = 9 + k

hence, k = -9