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Rewrite the polynomial in the form ax^2+bx+cax 2 +bx+c and then identify the values of a,a, b,b, and cc. -x+5x^2+1

Sagot :

Given:

The polynomial is

[tex]-x+5x^2+1[/tex]

To find:

The polynomial in the form [tex]ax^2+bx+c[/tex] and find the values of a, b and c.

Solution:

We have,

[tex]-x+5x^2+1[/tex]

Arranging the terms in descending order of their degrees, we get

[tex]=5x^2-x+1[/tex]

[tex]=(5)x^2+(-1)x+1[/tex]

On comparing this polynomial with [tex]ax^2+bx+c[/tex], we get

[tex]a=5,b=-1,c=1[/tex]

Therefore, the value of a is 5, the value of b is -1 and the value of c is 1.

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