The roots of the polynomial equation 3x3-12x=0 are
i) 3,2,-2
ii) 3,0,4
iii) 0,2,-2
iv) 3,0,2,-2
Answers
Answer:
4x2 – 3x + 7
⇒ 4x2 – 3x + 7x°
∵ All the exponents of x are whole numbers.
∴ 4x2 – 3x + 7 is a polynomial in one variable.
(ii)
∵ All the exponents of y are whole numbers.
∴ is a polynomial in one variable.
(v) x10 + y3 + t50
∵; Exponent of every variable is a whole number,
∴ x10 + y3 + t50 is a polynomial in x, y a
2 + x2 + x
(ii) 2 – x2 + x3
(iii)
(v)
Ans. (i) 2 + x2 + x
The co-efficient of x2 is 1.
(ii) 2 – x2 + x3
The co-efficient of x2 is (–1).
(iii)
The co-efficient of x2 is
(iv)
∴ The co-efficient of x2 is 0
(ii) 4 - y2 (iii) (iv) 3
Ans. (i) 5x3 + 4x2 + 7x
∵ The highest exponent of x is 3.
∴ The degree of the polynomial is 3.
(ii) 4 – y2
∵ The highest exponent of y is 2.
∴ The degree of the polynomial is 2.
(iii)
∵ The highest exponent of t is 1.
∴ The degree of the polynomial is 1.
(iv) 3
since, 3 = 3x°
∴ The degree of the polynomial 3 is 0.
Answer:
roots of the polynomial equation are 2 and -2