Question

Which expressions are factors of this polynomial?

2r 4 + r3 – 2912 34r + 24
0 (t + 6)
(r = 4).
(1 + 2)
D (2.r - 1)
0 (1 - 3)

Answer 1

The expressions that are factors of the given polynomial 2r^4 + r^3 - 2912r + 24 are (r + 6) and (2r - 1).

Step-by-step explanation:

The expressions that are factors of the given polynomial 2r^4 + r^3 - 2912r + 24 are:

• (r + 6)
• (2r - 1)

To determine if an expression is a factor of a polynomial, you can substitute the value of r that satisfies the expression and check if the polynomial evaluates to zero. In this case, when r = -6, the polynomial evaluates to zero for the first expression, and when r = 1/2, the polynomial evaluates to zero for the second expression.

Therefore, (r + 6) and (2r - 1) are factors of the polynomial.