Question

find the value of m , if (x + 4) is the factor of 2x³ - 5x² + 7x - m​

Answer 1

✫ The value of m is -236 ✫

Step-by-step explanation:

Given:-

• x + 4 = 0 then, x = -4
• Expression: f(x) = 2x³ - 5x² + 7x - m​

To find:-

• Value of m

Solution:-

Now,putting the value of x in the expression,

$\\ :\implies\sf{f(-4)=2(-4)^3-5(-4)^2+7(-4)-m}\\ \\ :\implies\sf{f(-4)=2(-64)-5(16)+7(-4)-m}\\ \\ :\implies\sf{f(-4)=-128-80-28-m}\\ \\ :\implies\sf{f(-4)=-236-m}\\ \\ :\implies\underline{\boxed{\frak{m=-236}}}$

• ∴ Hence,the value of m is -236.

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