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If x+1 is a factor of 2x3 + ax2 + 2bx + 1, then find the values of a and b given that 2a—3b = (- 4 )

Posted by Aditya Thakur 3 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sameer Sharma 3 years, 5 months ago

X + 1 is a factor of 2x3 + ax2 + 2bx + 1, so on substituting -1 in the polynomial we will get 0. On further calculation we get an equation: a - 2b = 1 - (1). Now we can find the value of a in terms of b and then substitute it in the equation given in the question: 2a - 3b = -4 - (2) . From here, we get b = -6 . Again substituting this value in the equation (1), we get the value of a to be - 11.

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CBSE > Class 10 > Mathematics