Question

Find the value of K for which x – 1 is a factor of the polynomial: 4x^3+3x^2-4x+k

Answer 1

Step-by-step explanation:

Given -

• x - 1 is a factor of polynomial p(x) = 4x³ + 3x² - 4x + k

To Find -

• Value of k

As we know that :-

• If x - 1 is a factor of polynomial then x = 1 is zero of that polynomial

Now,

→ p(x) = 4x³ + 3x² - 4x + k

→ p(1) = 4(1)³ + 3(1)² - 4(1) + k = 0

→ 4 + 3 - 4 + k = 0

→ k = -3

Hence,

The value of k is -3

Answer 2

$\large{\boxed{\underline{\underline{\bf{\red{Answer:-}}}}}}$

$\large\underline\mathrm{The \: value \: of \: k \: is \: -3.}$

$\large\underline\mathrm{Given:-}$

• x – 1 is a factor of the polynomial p(x) = 4x³ + 3x² - 4x + k

$\large\underline\mathrm{To \: find}$

• Value of k

$\large\underline\mathrm{Solution}$

• If x - 1 is a factor of polynomial then x = 1 is zero of that polynomial.

$\implies$ p(x) = 4x³ + 3x² - 4x + k

$\implies$ 4(1)³ + 3(1)² - 4(1) + k = 0

$\implies$ 4 + 3 - 4 + k = 0

$\implies$ 7 - 4 + k = 0

$\implies$ 3 + k = 0

$\implies$ k = -3

$\large\underline\mathrm{Hence,}$

$\large\underline\mathrm{The \: value \: of \: k \: is \: -3.}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$