Question

15 points, 8-9 grade work

Polynomials

P(x) = 2x^4 + 3x^2 - 5x + 7

q(x) = -2x^2 + 4x - 3

calculation:

A. p(x) + q (x)

B. 2 • p (x)

C. p (x) - q (x)

D. 3 • p (x) + 4 • q (x)

E. p (x) • q (x)

F. (P (x) ) ^2

Answer 1

A. p(x) + q (x) =2x^4 + 3x^2 - 5x + 7-2x^2 + 4x - 3 =2x⁴+x²-x+4

B. 2 • p (x)=2(2x^4 + 3x^2 - 5x + 7)=4x⁴+6x²-10x+14

C. p (x) - q (x) =2x^4 + 3x^2 - 5x + 7-(-2x^2 + 4x - 3 )=2x^4 + 3x^2 - 5x + 7+2x²-4x+3=2x⁴+5x²-9x-2

D. 3 • p (x) + 4 • q (x) =3(2x^4 + 3x^2 - 5x +7)+4(-2x^2 + 4x - 3 )=6x⁴+9x²-15x+21-8x²+16x-12=6x⁴+x²+x+9

E. p (x) • q (x)=sorry it is quite long.

F. (P (x) ) ^2this too.