Question

Examine whether (x+3) is a factor of 2x3-5x2+2x-3

Answer 1

Answer:

VERIFICATION,

$x + 3 = 0 \\ x = - 3 \\ p(x) = 2 {x}^{3} - 5 {x}^{2} + 2x - 3 \\ = 2 {( - 3)}^{3} - 5 {( - 3)}^{2} + 2( - 3) - 3 \\ = 2( - 27) - 5(9) + 2( - 3) - 3 \\ = - 54 - 45 - 6 - 3 \\ = - 99 - 9 \\ = - 108$

As p(x) is not equal to zero then (x+3) is not a factor of given polynomial.

Step-by-step explanation:

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