Question

If 5 is the zero of the polynomial x2+3x+ t find t

Answer 1

Your answer is ----


Let, f(x) = x2+3x+ t


Since , 5 is the zero of the given polynomila

therefore ,


f(5) = 0

=> 5^2 + 3×5 + t = 0

=> 25 + 15 + t = 0

=> t = -40

Answer 2

Given , a quadratic polynomial having 'x ' as its variable .

p( x ) = x^2 + 3 x + t

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since , 5 is the zero of the polynomial
p ( x ) then p ( x ) should be equal to zero.
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let us solve it for p ( 5 )

p ( 5 ) = (5 )^2 + 3 (5 )+ t

p ( 5 ) = 25 + 15 + t

p( 5 ) = 40 + t

since , p( 5) should be equal to zero ,

therefore , p ( 5 ) = 0

= > 40 + t = 0

=> t = - 40

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Your Answer : t = - 40
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