Question

If –2 is a zero of the polynomial √2(X+p) and is also the zero of the polynomial
px✓+kx+2√2, then find the value of k.

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Brainly.in

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Secondary School Math 15 points

If - 2 is the zero of the polynomial of root2 (x+p) and is also a zero of px^2 +kx+2root 2 then find the value of k

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Róunak

Róunak

Hey mate !

________

Given, x = -2 is a root of the equation √2(x + p) = 0.

=) √2(-2 + p) = 0

=) p = 2

Again, x = -2 is also a zero of the polynomial say,

f(x) = px^2+ kx+ 2√2

=) f(-2) = 0

=) p(-2)^2 + k(-2) + 2√2 = 0

=) 4(2) - 2k + 2√2 = 0

=) 8 -2k + 2√2 = 0

=) 8 + 2√2 = 2k

=) k = 4 + √2