Math, asked by vedantugale5536, 8 months ago

The value of the polynomial in x, is x 2 + kx + 5, where k is a constant. At x = 2, the value of the polynomial is 15. What is the value of the polynomial at x = 4? a) 3 b) 18 c) 30 d) 33

Answers

Answered by Anonymous

Answer:

(a) 3

Step-by-step explanation:

f(x) = x² + kx + 5 at x = 2

Which means, f(2) = 0

f(2) = 2² + 2k + 5 = 0

=> 4 + 5 + 2k = 0

=> 2k = -9

=> k = -9/2

The value of f(x) if x = 4 is

f(4) = 4² - 9/2 (4) + 5

= 16 - 18 + 5

= 21 - 18 = 3

So the value of f(4) = 3

Answered by jatt714

answer in attachment

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