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pls add the polynomials and find degree 1. p(x) = 6x² – 7x + 2 q(x) = 6x³ – 7x +15 2.h(x) = 7x³ – 6x + 1 f(x) = 7x² + 17x – 9​

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First let us know about Polynomial –

  • The degree of a polynomial is defined as the highest power on a variable in a polynomial.

Types of polynomials based on the degree–

[tex]\qquad[/tex] ☀️ Constant polynomial :-

  • A polynomial having 0 as its degree is known as a constant polynomial.

Example : 6 (6x⁰ : degree of x : 0)

[tex]\qquad[/tex]☀️ Quadratic polynomial :-

  • A polynomial having 2 as its degree is known as a quadratic polynomial.

Example : 3x² + 7x + 6 (3x² : degree of x : 2)

[tex]\qquad[/tex]☀️ Cubic polynomial :-

  • A polynomial having 3 as its degree is known as a cubic polynomial.

Example : 5x³ + 3x² + 7x + 6 (5x³ : degree of x : 3)

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow (1) p(x) = 6x² – 7x + 2 + q(x) = 6x³ – 7x + 15}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² – 7x + 2 + (6x³ – 7x + 15)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² + 6x² – 7x – 7x + 2 + 15[/tex]

[tex]\qquad[/tex][tex]\purple{ \bf \longrightarrow 6x³ + 6x² – 14x + 17}[/tex]

  • The degree of the polynomial is 3.

[tex]\qquad[/tex][tex]\pink{\bf \longrightarrow (2) h(x) = 7x³ – 6x + 1 + f(x) = 7x² + 17x – 9}[/tex]

[tex]\qquad[/tex][tex]\sf \longrightarrow 7x³ – 6x + 1 + (7x² + 17x – 9)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 7x³ + 7x² – 6x + 17x + 1 – 9[/tex]

[tex]\qquad[/tex][tex]\pink{\bf\longrightarrow 7x³ + 7x² + 11x – 8}[/tex]

  • The degree of the polynomial is 3.

1) The degree of the polynomial is 3.

2) The degree of the polynomial is 3.