Question

Thank you for your help in advance

Answer 1

`\text{1. Quadratic trinomial}\ \rightarrow\ a.\ f(x)=3x^2-5x+7\\\text{2. Cubic trinomial}\ \rightarrow\ b.\ g(x)=-5x^3\\\text{3. Linear trinomial}\ \rightarrow c.\ h(x)=15x+2\\\text{4.\ Quartic trinomial}\ \rightarrow d.\ j(x)=x^4-3x^3+9x^2`

Step-by-step explanation:

`\text{In mathematics, a polynomial is an expression consisting of variables, terms}\\\text{exponents and constants. The terms of a polynomial are separated by addition}\\\text{or subtraction signs. A polynomial can have one variable, two variables, or }\\\text{more than two variables. The exponents of variable in a polynomial should be}\\\text{a whole number.}`

`\text{A trinomial is a polynomial with three terms. }`

`\text{The degree of a polynomial is the highest exponent of the variable in the}\\\text{polynomial. For example, the degree of the polynomial }x^2+2x+1\ \text{is 2.}`

`\text{Quadratic trinomials are those trinomials having degree of 2. In the question,}\\\text{the trinomial}\ 3x^2-5x+7\ \text{is the quadratic trinomial because it's highest}\\\text{power is 2. The general form of quadratic expression is }ax^2+bx+c.`

`\text{Cubic trinomials are those trinomials having degree of 3. In the given question,}\\\text{the monomial}-5x^3\ \text{is\ the\ cubic\ monomial. A monomial is the polynomial}\\\text{that consists of only one term.}`

`\text{Linear polynomial is a mathematical expression that has a degree of 1. The }\\\text{general form of linear trinomial is }ax+b.`

`\text{Finally, a quartic trinomial is that trinomial having a degree of 4.}`