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Answer 1

Answer:

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Answer 2

➹ Question :-

If x - 3 is a factor of the polynomial 2x² + 7x + k, find the value of k ?

➹ Solution :-

$\mathsf{ \: x \: - \: 3 \: = \: 0}$

$\mathsf{x \: = \: 3}$

• Now put the value of x = 3 in the equation.

$\mathsf{ \longmapsto \: 2x² + 7x + k = 0}$

$\mathsf{ \longmapsto \: 2 \: \times ({3})^{2} + 7 \: \times \: 3 + k \: = \: 0}$

$\mathsf{ \longmapsto \: 2 \: \times \: 9 \: + \: 7 \: \times \: 3 + k \: = \: 0}$

$\mathsf{ \longmapsto \: 18 \: + \: 21 + k \: = \: 0}$

$\mathsf{ \longmapsto \:39 \: + \: k \: = \: 0}$

$\mathsf{ \longmapsto \: k \: = \: - \: 39}$

➹ Final answer :-

$\boxed{\mathsf{ \longmapsto \: k \: = \: - \: 39}}$