Question

What is the degree of P(x)=(x+2)² (x+4)⁵

Answer 1

Answer:

7 is the degree of polynomial

Answer 2

Answer:

7 is the degree of P(x).

Step-by-step explanation:

P(x) = (x+2)² (x+4)⁵

= ( x²+4x+4 ) ( x⁵+8x+1024 )

= (x⁷ + 8x³ +1024x² +4x⁶ + 32x²+ 4096x + 4x⁵ + 32x + 4096)

= x⁷ + 4x⁶ + 4x⁵+ 8x³ + 1056x²+ 4128x + 4096.

Now , since the degree of a polynomial is the greatest exponent of the variable , and here , the greatest exponent of the variable ' x ' is 7.

Theerefore , 7 is the required degree of the polynomial P(x).