What is (6x4 - 7x3 - 153x2 + 175x + 75) divided by (x + 5)? a.2x3 - 3x2 - 50x - 75 b.3x3 + x2 - 75x - 25 c.6x2 - 7x - 3 d.6x3 - 37x2 + 32x + 15?

Hey there!!!

( 6x⁴ - 7x³n - 153x² + 175x + 75 ) ÷ ( x + 5 )

If we multiply ( x + 5 ) with ( 6x³ ) . We get 6x⁴ + 30x³ . Now we need to subtract this equation from the above equation.

-37x³ - 153x² + 175x + 75

Now multiply ( x + 5 ) with ( -37x² ) . We get ( -37x³ - 185x² ) . Subtracting this from the above equation, we get ,

32x² + 175x + 75

Multiply ( x + 5 ) with ( 32x ) . We get ( 32x² + 160x ) . Now subtract this from the above equation. We get,

15x + 75

Now multiply ( x + 5 ) with ( 15 ) . we get ( 15x + 75 ). Now subtract this from the above equation, we get,

0

The answer would be all the bold letters.

Answer : - ( 6x³ - 37x² + 32x + 15 )

Option ( d )

Hope helps!

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.