Step-by-step explanation: f(x)= 2x⁴–4ax³+7x²–13ax–18 here x-2a is a factor so x=2a will be satisfy this equation so. put x=2a f(2a)=0 2(2a)⁴–4a(2a)³+7(2a)²+13a(2a)–18=0 2(16a⁴)–4a(8a³)+7(4a²)+126a²18=0 32a⁴–32a⁴+28a²–26a²–18=0 2a²–18=0 2a²=18 a²=9 a=±3 hope you understand mark as brilliant Reply
Step-by-step explanation:
f(x)= 2x⁴–4ax³+7x²–13ax–18
here x-2a is a factor so x=2a will be satisfy this equation
so. put x=2a
f(2a)=0
2(2a)⁴–4a(2a)³+7(2a)²+13a(2a)–18=0
2(16a⁴)–4a(8a³)+7(4a²)+126a²18=0
32a⁴–32a⁴+28a²–26a²–18=0
2a²–18=0
2a²=18
a²=9
a=±3
hope you understand
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