Question

If one zero of the quadratic polynomial x2 + 3x + k is 2 then the value of k is
(a) 10
(b) -10
(c) 5
(d) -5

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Answer 1

$♕ \: \: \large{\rm{{\underline{\underline{\red{S}\purple{O}\pink{LU}\orange{TI}\green{ON}}}}}} \: \: ♕$

FORMULA TO BE IMPLEMENTED

If a is a zero of a polynomial f(x)

Then by the Remainder Theorem the Remainder

$f(a) = 0$

TO DETERMINE

one zero of the quadratic polynomial

${x}^{2} + 3x + k$

is 2 then to determine value of k

CALCULATION

Let

$f(x) = {x}^{2} + 3x + k$

Since 2 is a zero of the polynomial

So by the Remainder Theorem

$f(2) =0$

$\implies \: {2}^{2} + 3 \times 2 + k =0$

$\implies \: 4 + 6 + k = 0$

$\fbox{ k = - 10}$

Answer 2

Answer:

THE CORRECT OPTION IS B. THAT IS K=-10

Step-by-step explanation:

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