Question

write the type of the polynomials given below:
(a) 3x square-5x+2x cube+8
(b) 5x cube-4x square+9
(c) x raise to 4+x raise to 3+3x square+3
(d) 5x square-7x+9
Also Mention there degree.

Answer 1

HI !

a) 3x² - 5x + 2x³ + 8  ==> 2x³ + 3x² - 5x + 8
this is a cubic polynomial.
degree = 3

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b) 5x³ - 4x² + 9
this is a cubic polynomial.
degree = 3

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c) x⁴ + x³ + 3x² + 3
this is a bi quadratic polynomial
degree = 4

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d) 5x² - 7x + 9
This is a quadratic polynomial
degree = 2

Answer 2

Hey there!
Classification according to degree :-
(a) 3x ²-5x+2x³+8 => Cubic polynomial
(b) 5x³-4x²+9 => Cubic Polynomial
(c) x⁴+x³+3x²+3 => Biquadratic polynomial
(d) 5x ²-7x+9 => Quadratic polynomial

Degrees of the polynomials

a) 3x ²-5x+2x³+8 => 3
(b) 5x³-4x²+9 => 3
(c) x⁴+x³+3x²+3 => 4
(d) 5x ²-7x+9 => 2

Classification of terms :-

a) 3x ²-5x+2x³+8 => Polynomial
(b) 5x³-4x²+9 => Trinomial, Polynomial
(c) x⁴+x³+3x²+3 => Polynomial
(d) 5x ²-7x+9 => Trinomial, Polynomial

hope helped!