Question

h(x)= 7x³- 6x +1 f(x) =7x²+ 17x -9. Add the polynomials and find the degree of the resultant polynomial.

Answer 1

Hi ,

Given polynomials are,

h(x) = 7x³ - 6x + 1 ,

f(x) = 7x² + 17x - 9

Let Resultant polynomial = p( x )

i ) p( x ) = h( x ) + f( x )

= 7x³ - 6x + 1 + 7x² + 17x - 9

= 7x³ + 7x² + 11x - 8

ii ) Degree of p(x)

= heighest degree of p(x)

= 3

I hope this helps you.

: )

Answer 2

Dear Student,


Answer:Degree =3


Solution:
➖➖➖

As we know that in polynomial same powers of

x can be added and subtracted ,like

5x³- 3x³ = 2x³

By this way

$h(x) = 7 {x}^{3} - 6x + 1 \\ \\ f(x) = 7 {x}^{2} + 17x - 9 \\ \\ h(x) + f(x) = 7 {x}^{3} - 6x + 1 + 7 {x}^{2} + 17x - 9 \\ \\ = 7 {x}^{3} + 7 {x}^{2} + 11x - 8$

Degree of polynomial: Highest power of x

In resultant polynomial Highest power of x is 3,

So, degree is 3.


Hope it helps you.