# Polynomials Class 9

This is a mind map that contains information about the polynomials.

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Polynomials Class 9

Identifying the leading coefficient andthe degree of a polynomial

- 8x^2+15

- The Leading coefficient would be 8 and thedegree would be 2

Multiplying and monomial anda polynomial

- (x+2)(x^2+3x+5)

- You multiply x by everything in the otherparenthesis and then multiply 2 byeverything in the other parenthesis andthen you combine like terms.

Dividing polynomials

- You can either use long term division orsynthetic division

Factoring polynomials

- X-A must equal 0 so to see if the givenbinomial is a factor of the polynomialyou use synthetic substitution and if itequals 0 then it is a factor.

Finding real roots

- Use the zero product property tot find thezeros or solutions.

Fundamental theorem

- Use the Zero product property to find thesolutions of the numbers and then factorthe solutions.

Investigating graphs

- Linear graph=degree 1

- Quadratic graph=degree 2

- Cubic graph=degree 3

- Quartic graph=degree 4

- Quintic graph=degree 5

Transforming polynomial function

- Vertical=f(x)+K

- Horizontal=F(x+h)

- Vertical stretch=Af(x)