Question

The zero
of the polynomial
x² - 5x +k=
-4 then the
value of a
k is please tell fast I will mark u braiinlist​

Answer 1

Answer:-

The value of k in the polynomial x² - 5x + k is -36

• Given-

$x^2 - 5x + k = 0$

• To Find:-

Value of k the given polynomial

• Solution:-

Given that -4 is the zero of the given polynomial

Hence,

Substituting -4 in the above Equation:-

→ $x^2 - 5x + k = 0$

→ $(-4)^2 - 5(-4) + k= 0$

→ $16 - (-20) + k = 0$

→ $16 + 20 + k = 0$

→ $36 + k = 0$

→ $\bf{k = -36}$

Therefore, the value of k in the given Polynomial is -36

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Verification:-

• Substituting the value of k in the equation:-

→ $x^2 - 5x - 36 = 0$

• Splitting the middle term:-

→ $x^2 - 9x + 4x - 36 = 0$

→ $x(x - 9) + 4(x - 9) = 0$

→ $(x-9) (x+4) = 0$

Now, Taking (x - 9):-

→ $x - 9 = 0$

→ $\bf{x = 9}$

Taking (x + 4):-

→ $x + 4 = 0$

→ $\bf{x = -4}$

• It is given that one of the Zero is -4 of the given polynomial

HENCE PROVED

Answer 2

Answer:

k= -36

Step-by-step explanation:

let x²-5x+k=0

a/q=> (-4)²-5×(-4)+k=0

=> 16+20+k=0

=> 36+k=0

=> k= -36