Answer: The answers for both (a) and (b) is YES.
Step-by-step explanation: A polynomial is an algebraic expression containing two or more algebraic terms, i.e., the sum of several terms that contain different powers of the same variable or variables with real coefficients.
For example, p(x) = 4x²+x+2 is a polynomial in variable 'x'.
(a) Yes, the sum of two polynomials is again a polynomial. For example,
if p(x) = ax² + bx + c and q(x) = dx² + ex + f, where, a, b, c, d, e and f are real numbers, then their sum will be
p(x) + q(x) = (a+d)x²+(b+e)x+(c+f), which is again a polynomial in 'x' with real coefficients.
(b) Yes, the difference of two polynomials is again a polynomial. For example,
p(x) - q(x) = (a-d)x²+(b-e)x+(c-f), which is again a polynomial in 'x' with real coefficients.
Thus, the answer is YES.
Answer:
i think this is the answer:
d + (a+b+c)
The present age of George is 25 years and the present age of Harry is 17 years
For given question,
Let x be the age of George and y be the age of Harry.
George is now 8 years older than harry.
So, we get an equation,
x = y + 8 ...................(1)
After 5 years the age of George will be x + 5 and the age of Harry will be y + 5
Two years ago the age of Harry = y - 2
In 5 years George will be twice as Harry was 2 years ago.
So we get an equation,
x + 5 = 2(y - 2) ..............(2)
Substitute the value of x in equation (2)
⇒ x + 5 = 2(y - 2)
⇒ y + 8 + 5 = 2y - 4
⇒ y + 13 = 2y - 4
⇒ y = 17
Substitute the above value of y in equation (1)
⇒ x = 17 + 8
⇒ x = 25
Therefore, the present age of George is 25 years and the present age of Harry is 17 years
Learn more about an equation here:
brainly.com/question/13170101
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