Question

Найдите p (x) = p1 (x) + p2 (x), если: p1 (x) = 10x + 5; p2 (x) = 3x – 2

Answer 1

p (x) = p1 (x) + p2 (x) = 10x + 5 + 3x – 2 = 13x + 3

Answer 2

To find the sum of two polynomials, p1(x) and p2(x), you simply add the coefficients of corresponding powers of x. In this case, you have:

p1(x) = 10x + 5 p2(x) = 3x - 2

To find p(x) = p1(x) + p2(x), add the coefficients of x and the constant terms:

p(x) = (10x + 5) + (3x - 2)

Now, perform the addition:

p(x) = 10x + 5 + 3x - 2

Combine like terms:

p(x) = (10x + 3x) + (5 - 2)

Add the coefficients:

p(x) = 13x + 3

So, the sum of p1(x) and p2(x) is:

p(x) = 13x + 3