Question

If p(x)=4x²-3x+2x³+5 and q(x)=x²+2x+4,then find p(x)+q(x)​

Answer 1

Given:

p(x)=4x²-3x+2x³+5

q(x)=x²+2x+4

To find:

p(x)+q(x)

Solution:

We can find the solution in a few simple steps-

We know that the sum of p(x) and q(x) can be obtained by adding both equations.

But, the degree of p(x) is 3 and the degree of q(x) is 2.

We can rewrite them as-

p(x)= 2x³+4x²-3x+5

q(x)= x²+2x+4

Now, p(x)+q(x)= 2x³+4x²-3x+5+x²+2x+4

=2x³+4x²+x²-3x+2x+5+4

= 2x³+5x²-x+9

Therefore, p(x)+q(x) is 2x³+5x²-x+9.

Answer 2

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