Rewrite the polynomiyal x-9+√7×3+6×2in standard form
Answers
Answer:
Standard form of the given polynomial is
√7x3 + 6x2 + x - 9
(ii) √2x2 - (7/2)x4 + x - 5x3
Solution :
Standard form of the given polynomial is
- (7/2)x4 - 5x3 + √2x2 + x
(iii) 7x3 - (6/5)x2 + 4x - 1
Solution :
The given polynomial is already in standard form.
(iv) y2 - √5y3 - 11 - (7/3)y + 9y4
Solution :
Standard form of the given polynomial is
= 9y4- √5y3 + y2 - (7/3)y - 11
Question 2 :
Add the following polynomials and write the resultant polynomials in standard form.
(i) p(x) = 6x2 - 7x + 2 and q(x) = 6x3 - 7x + 15
Solution :
p(x) + q(x) = (6x2 - 7x + 2) + (6x3 - 7x + 15)
= 6x2 - 7x + 2 + 6x3 - 7x + 15
= 6x3 + 6x2 - 7x - 7x + 2 + 15
= 6x3 + 6x2 - 14x + 17
(ii) h(x) = 7x3 - 6x + 1, f(x) = 7x2 + 17x - 9
Solution :
h(x) + f(x) = (7x3 - 6x + 1) + (7x2 + 17x - 9)
= 7x3 + 7x2- 6x + 17x + 1 - 9
= 7x3 + 7x2 + 11x - 8
(iii) f(x) = 16x4 - 5x2 + 9, g(x) = -6x3 + 7x - 15
Solution :
f(x) + g(x) = (16x4 - 5x2 + 9) + (-6x3 + 7x - 15)
= 16x4- 6x3 - 5x2 + 7x + 9 - 15
= 16x4- 6x3 - 5x2 + 7x -