Question

Polynomial of y⁴-4y²+9 in coefficient form


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Answer 1

Answer

(i) 4x² - 3x + 7 (ii)

(iii) (iv)

(v)

SOLUTION:

(i) 4x² - 3x + 7 = 4x² - 3x + 7x0

4x² - 3x + 7 is a polynomial in one variable.

(ii)

is a polynomial in one variable.

(iii)

Now, is not a whole number.

is not a polynomial.

(iv) Now, -1 is not a whole number.

is not a polynomial

(v) x10 + y³ + t50. Here, exponent of every variable is a whole number, but x10 + y³ + t50 is a polynomial in x, yand t, i.e. in three variables. So, it is not a polynomial in one variable

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Answer 2

Step-by-step explanation:

y⁴-4y²+9

let f(y) = 0

f(0) = (0)⁴- 4(0)² +9

= 9

f(1) = (1)⁴ - 4(1)² + 9

= 1 - 4 + 9

= -3 + 9

= 6

f(2) = (2)⁴ - 4(2)² + 9

16 - 16 + 9

= 0