Question

Find the value of k if 1 is the zero of the polynomials
P(x)=x^4-2x^3-kx-1
Pls answer

Answer 1

$\textbf{ solution–}$

If 1 is a factor of
${x}^{4} - 2 {x}^{3} - kx - 1$

putting 1 in the place of x

${x}^{4} - 2 {x}^{3} - kx - 1 = 0 \\ \\ {1}^{4} - 2 \times 1 ^{3} - k \times 1 - 1 = 0\\ \\ 1 - 2 - k - 1 = 0 \\ \\ - 2 - k = 0 \\ \\ k = - 2$

$\textbf{ So, the value of k is –2.}$

Answer 2

x⁴ - 2x³ - kx - 1 = 0

As 1 is a zero of this polynomial.

x = 1 and solve,

1⁴ - 2 * 1³ - k - 1 = 0

1 - 2 - k - 1 = 0

1 and -1 will get cancelled out,

-2 -k = 0

- k = 2

k = -2

================

# Be Brainly

@devil1407