Consider the polynomial P(x) = x^4 - 3x^3 + 5x^2 - 7x + 9. Let its four roots be a, b, c, d. Evaluate the expression (a + b + c)(a + b + d)(a + c + d)(b + c + d).

Guest Apr 19, 2021

#1**0 **

I know it's not the answer but I hope it will help you understand how to do this:

"To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression."

The beautiful thing about learning is that no one can take it away from you. ~**HannahðŸŒ¹ðŸŒ¹ðŸŒ¹**

XxMysteriousGirlxX Apr 19, 2021

#3**0 **

Hannah please tone your enthusiasm down just a bit.

Please don't answer questions when you do not have a clue

and please limit your social posts to maybe one a day.

Melody
Apr 19, 2021

#4**0 **

Ok ok I'll stop answering question I dont have a clue about but I'm still going to be answering more than 1 problem a day

XxMysteriousGirlxX
Apr 19, 2021

#2**+1 **

Consider the polynomial P(x) = x^4 - 3x^3 + 5x^2 - 7x + 9. Let its four roots be a, b, c, d.

Evaluate the expression (a + b + c)(a + b + d)(a + c + d)(b + c + d).

The sum of all the roots is 3/1 = 3

so the expression can be changed to

(3-d)(3-c)(3-b)(3-a)

now expand and then use Vieta's formulas to solve

Melody Apr 19, 2021