two more little math questions polynomials?

Question

5(exponent3)+3(exponent -2)

and

(4exponent3 +3 exponent4)exponent -3

Answer 1

5^3=125, and 3^-2= 1/9, so it would be 125 +1/9.

4^3 is 64, and 3^4 is 81. 64+81= 145. 145^-3= ?

I suggest using a scientfic or graphing calculator for this!

Answer 2

this is not clear.

if you mean 5^3 + 3^-2 where the ^ means the next number is an exponent

then
5^3 = 5x5x5 = 125
3^ -2 = 1/(3x3) = 1/9

5^3 + 3^-2 = 125 1/9

2.
4^3 + 3^4

4^3 = 4x4x4 = 16x4 = 64
3^4 = 3x3x3x3 = 9x9 = 81

4^3 + 3^4 = 64 + 81 = 145

(4^3 + 3^4)^-3 = 1/(145*145*145)

Answer 3

125 + 1/9 = 125 1/9


(64 + 81)^-3= 1/3048625

Answer 4

x^4 + 11x^3 + 30x^2 + 53x - 7 => eq -a million factored to 2 quadratics(regular form): (x^2 + ax - a million)(x^2 + bx +7) => eq - 2 boost: = x^4 + bx^3 +7x^2 + ax^3 + abx^2 +7ax - x^2 - bx - 7 simplify: = x^4 + (a + b)x^3 + (ab + 6)x^2 + (7a - b)x - 7 evaluate coefficient with eq - a million: a + b = 11 => b = 11 - a ab + 6 = 30 7a - b = fifty 3 7a - 11 + a = fifty 3 8a = sixty 4 a = 8 , b = 3 replace for a and b in eq - 2 (x^2 + 8x - a million)(x^2 + 3x +7) Regards.

Answer 5

Your negative exponent needs to be turned in to a fraction... 3^ -2 would become 1/3^2 (one over 3 squared) or 1/9 (one-ninth).

Take a looksy here:
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_ExponentsRules.xml

G'luck,
Mon :-)