Posted by **chama** on Wednesday, March 14, 2012 at 11:08am.

Given the quadratic functionf(x)=x^2+(3k+1)x+k^2,find the value(s)of kif f(x)is a perfect square

- maths -
**Steve**, Wednesday, March 14, 2012 at 2:41pm
If x^2+(3k+1)x+k^2 is a perfect square, then

3k+1 = 2k

because (x+a)^2 = x^2 + 2ax + a^2

so, k=-1, and your polynomial is

x^2 -2x + 1 = (x-1)^2

## Answer this Question

## Related Questions

- Maths - If the quadratic kx^2−14x+1 is a perfect square polynomial, what ...
- maths - what least number must be added to 630 to make the sum a perfect square...
- math - given that 2xsquared-5x+k is a perfect square . find the value of k
- Algebra - 1)Solve by factoring:5x^2=4-19x answer=-4,1/5 2)Which quadratic ...
- Maths - It is given a quadratic function y=a(x-h)62+k.If its graph is a parabola...
- algebra - 1)Solve by factoring:5x^2=4-19x answer=-4,1/5 2)Which quadratic ...
- maths - What value of k makes the expression P^2 - 18P + K a perfect square?
- mathematics - what value of k makes the given expression a perfect square?M ...
- Algebra - what is a perfect square number i know 9, 25 and 100, but what else if...
- maths - find the gretest number of seven digits which is a perfect square. also ...

More Related Questions