Thread: Help with maths equations

1.find the coordinates of the points where the graph y=2x^3+3x^2-4x+1 cuts the x axis

2. show that (x-1) is a factor of 6x^3+11x^2-5x-12 and find the other two linear factors of this expression



please help i dont know how to do these please help thank you very much in advance

Originally Posted by kitobeirens

1.find the coordinates of the points where the graph y=2x^3+3x^2-4x+1 cuts the x axis

2. show that (x-1) is a factor of 6x^3+11x^2-5x-12 and find the other two linear factors of this expression
please help i dont know how to do these please help thank you very much in advance

For 1, we know that any point on the x-axis is of the form (a, 0)...

So set y = 0 and find what value(s) "a" can be.

This might require factoring, synthetic division, and/or numerical methods. Punch your equation into wolframalpha.com if you need a shortcut for your intuition.

Originally Posted by kitobeirens

1.find the coordinates of the points where the graph y=2x^3+3x^2-4x+1 cuts the x axis

2. show that (x-1) is a factor of 6x^3+11x^2-5x-12 and find the other two linear factors of this expression



please help i dont know how to do these please help thank you very much in advance

For 2 use the factor theorem which says that if then . In layman's terms if x-1 is a factor then f(1) = 0.

To find the other two factors you can use synthetic division, long division or comparing coefficients.