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C. Perform the indicated operations. with solution
8. (8x3 – 4x2 – 24x) ÷4x
9. (x2 - 8x + 16) = (x – 4) ​


C Perform The Indicated Operations With Solution8 8x3 4x2 24x 4x 9 X2 8x 16 X 4 class=

Sagot :

Answer:

8) 2x⁴-x³-6x²

solution

(8x³-4x²-24x)÷4x

make it to fraction

8x³-4x²-24x

_ x

4

factor out 4 from the expression

4(2x³-x²-6x)

_ x

4

remove the 4 outside and the 4 under the fraction

(2x³-x²-6x)x

remove the () and the x outside

= 2x⁴-x³-6x²

9) x - 4

again write the problem in fraction

x²-8x+16

_

x-4

use a²-ab+b²=(a-b) ² to factor the expression

(x-4) ²

_

x-4

simplify the answer, remove the (x-4)² and just put x-4 since they're just the same but with () and a square number

x-4

BUT

if excluded values, this is another answer

(x²-8x+16) ÷(x-4)

to find the excluded values, set the denominators and the divisor equal to 0

x-4=0

remove 0 and replace the - with =

x=4