Question

Determine the value of m if 3x² + mx + 4 has x = 1 as one of its roots.

Answer 1

Answer:

hope it helps you....

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Answer 2

Step-by-step explanation:

Given: $3 {x}^{2} + mx + 4$

To find: Determine the value of m if given expression has x = 1 as one of its roots.

Solution:

Tip: The value of polynomial becomes zero, when it's zero is placed in it.

Step 1: Let polynomial is p(x).

$p(x) = 3 {x}^{2} + mx + 4$

Step 2:Put x=1 and set p(1)=0

$p(1) =0$

$3( {1)}^{2} + m(1) + 4 = 0$

or

$3 + m + 4 = 0$

or

$m + 7 = 0$

or

$\bf m = - 7$

Final answer:

Value of m is -7, if 3x² + mx + 4 has x = 1 as one of its roots.

Hope it helps you.

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