The expression in the form of a(x+b)^{2}+c will be 2(x+5)^{2}- 1.
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Express; 2x^{2} +5x-1 as a(x+b)^{2}+c
We have been given
a = 2 , b= 5 and c = -1.
Now, substitute the values;
[tex]a(x+b)^{2}+c\\\\2(x+5)^{2}- 1[/tex]
Hence, the expression will be 2(x+5)^{2}- 1.
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