Question

if x-3 is a factor of the polinomial 2xsquare+7x+k, find the value of k
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Answer 1

Step-by-step explanation:

x-3=0

x=3

p(x)=2x^2+7x+k

p(3)= 2(3)^2+7(3)+k

18+21+k=0

39+k=0

k=-39

Answer 2

$\huge \sf {\orange {\underline {\pink{\underline {A᭄ɴsᴡᴇʀ࿐ \ :- }}}}}$

x-3 = 0

➪ x = 3

$2( {3}^{2} ) + 7 \times 3 + k = 0 \\ \\ \implies 18 + 21 + k = 0 \\ \\ \implies3 9 + k = 0 \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \: k = - 39 \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

value of k is -39