Question

if (x-2a) is a factor of 2x⁴-4ax³+7x²-13ax-18 find a

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

• If (x - 2a) is the factor of the given polynomial then if we put x = 2a in the polynomial, it must be equal to zero.
• Then, put x = 2a in the polynomial therefore,
• $2( {2a})^{4} - 4a( {2a})^{3} + 7 ({2a}) ^{2} - 13a(2a) - 18 = 0$
• $= > 32 {a}^{4} - 32 {a}^{4} + 28 {a}^{2} - 26 {a}^{2} - 18 = 0$
• $= > 2 {a}^{2} = 18$
• $= > {a}^{2} = 9$

$= > a = 3 \: or \: also \: a \: = - 3$

• I hope it will help you. Thank you