Question

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Use the remainder theorem to verify this statement.
(3 + 5) is a factor of the function /3) = 3 + 382 - 253 – 75
1. Find the. of f(x) and x+5
2. The of this operation is 0.
3. Therefore, (+ 5) is
4. So f( )=0

NEED ASAP

Answer 1

To verify if (3 + 5) is a factor of the function, substitute x with -5 in the function f(x) and check if the result is zero.

Step-by-step explanation:

Use of the Remainder Theorem to Verify if (3 + 5) is a Factor of the Function

To verify if (3 + 5) is a factor of the function, we need to check if f(-5) equals zero.
Step 1: Replace x with -5 in the function f(x) = 3x + 382 - 253 – 75.
This gives us f(-5) = 3(-5) + 382 - 253 – 75.
Step 2: Simplify the expression.
f(-5) = -15 + 382 - 253 – 75.
f(-5) = 314.

The Result

The result of f(-5) is 314, which is not equal to zero. Therefore, (3 + 5) is not a factor of the function.