Question

show that (x-1) is a factor of 2x³-3x²+7x-6​

Answer 1

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To Solve:

• show that (x-1) is a factor of 2x³-3x²+7x-6

Given:

• Factor- (x-1)
• Cubic Polynomial - 2x³-3x²+7x-6

Solⁿ:

• To show (x-1) as a factor (zeroes of a polynomial) we will put the value of x in the eqⁿ
• because if (x-1) will be a zero of eqⁿ , after solving the answer will be 0 in LHS which will be equal to RHS
• 0 = 0 LHS=RHS

(x - 1) = x = +1

Putting in Eqⁿ :-

f(x) = 2x³-3x²+7x-6

${ \tt{ {2(1)}^{3} - {3(1)}^{2} + 7(1) - 6 = 0}} \\ \\ { \tt{2 - 3 + 7 - 6 = 0}} \\ \\ { \tt{0 = 0}} \\ \\ { \tt{ \blue{hence \: \: shown}}}$

★ So, We can say that (x-1) is a Factor of 2x³-3x²+7x-6.

HOPE IT HELPS

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