10x3 + 2x2 + 5x+1
A. (2x2 + 1)(x + 1)
O B. (2x2+ 1)(5x + 1)
OC (5x2 + 1)(x+1)
OD. (5x2+ 2)(5x+1)

B

Step-by-step explanation:

Given

10x³ + 2x² + 5x + 1 ( factor the first/second and third/fourth terms )

= 2x²(5x + 1) + 1(5x + 1) ← factor out (5x + 1) from each term

= (5x + 1)(2x² + 1) → B

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

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