If 1 is the zero of the polynomial x square plus kx-5
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Answer: 4
Step-by-step explanation:
Given that 1 is the zero of quadratic polynomial x^2 + kx - 5, it means that the value of x is 1 and on applying the value of x( i.e. 1 ) result of the given polynomial will be 0.
Given equation : x^2 + kx - 5
Substitute the value of x in the quadratic polynomial.
⇒ ( 1 )^2 + ( 1 × k ) - 5 = 0
⇒ 1 + k - 5 = 0
⇒ k - 5 + 1 = 0
⇒ k - 4 = 0
⇒ k - 4 + 4 = 4
⇒ k = 4
Therefore the value of k satisfying the given quadratic polynomial is 4.
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