Question

If x – 1 is a factor of the polynomial 2x3 + 3x2 + kx –3, then k is​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$x - 1 = 0 \\ \large{\bold{\boxed{x ={ \bold{\underline{\underline{ 1}}}}}}} \\ \\ Let, \: \: f(x) = 2 {x}^{3} + 3 {x}^{2} + kx - 3=0 \\ f(1) = 2 {(1)}^{3} + 3 {(1)}^{2} + k(1) - 3 = 0 \\ = (2 \times 1) + (3 \times 1) + k - 3 = 0 \\ = 2 + 3 + k - 3 = 0 \\ = 2 + k = 0 \\ \large{\bold{\boxed{k ={ \bold{\underline{\underline{ - 2}}}}}}}$