# math/ college algebra

posted by .

what is the root of 4x to the 4th power + 8x to the 3rd power - 13x to the 2nd power -2x +3

• math/ college algebra -

I think you mean
(√(4x))^4 + 8x^3 - 13x^2 - 2x + 3
which is
16x^2 + 8x^3 - 13x^2 - 2x + 3
= 8x^3 + 3x^2 - 2x + 3

What do want done with it?

• math/ college algebra -

I need the roots of 4x^4+8x^3-13x^2-2x+3

• math/ college algebra -

Read your first line, can you see how it can be misinterpreted?

so let
f(x) = 4x^4+8x^3-13x^2-2x+3

try x = ±1, ±3
f(1) = 0, so x-1 is a factor,
I then used synthetic division to show that
4x^4+8x^3-13x^2-2x+3 = (x-1)(4x^3 + 12x^2 - x - 3)

but (4x^3 + 12x^2 - x - 3)
= 4x^2(x+3) - (x+3)
= (x+3)(4x^1 - 1)
= (x+3)*2x-1)(2x+1)

so for
4x^4+8x^3-13x^2-2x+3 = 0
(x-1)x+3)(2x+1)(2x-1) = 0
x = 1, -3, ±1/2

## Similar Questions

1. ### Math/Standard and scientific notation

Express each measure in standard form. (One more thing by the way you need this few prefixes) Tera= 10 to the 12th power Giga= 10 to the 9th power Mega= 10 to the 6th power Kilo= 10 to the 3rd power Pico= 10 to the -12th power Nano= …
2. ### Algebra

Factor each of following expressions x (4th power) - x (3rd power) - 6x (2nd power (a-b)(2nd power) - (a 2nd power + b) 2nd power
3. ### college

let i = the square root of -1 with i to the 1st power =i, i to the 2nd power= -1, i to the 3rd power =-i , i to the 4th power=1 find ito the power 215
4. ### math

what is (x to the 3rd power + x to the 2nd power) divided by ((x+4)(X-4)) multiplied by (x+4) divided by (3x to the 4th power + x to the 3rd power + 2x to the 2nd power)
5. ### algebra

how do I evaluate 2x to the 4th power + 2 x to the 3rd power + x to the 2nd power when x + 7
6. ### Intermediate Algebra

for the polynomial function h(x)=2x to the 4th power-x to the 3rd power+2x to the 2nd power -4x-3 evaluate h(3)
7. ### Intermediate Algebra

add or subtract the following polynomials as indicated (5.9x to the 3rd power+3.4x to the 2nd power - 7)-92.9x to the 3rd power -9.6x to the 2nd power +3)