zeros of a polynomial - Examine the graph of y=2x^{2}+2x-1 below

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zeros of a polynomial CCSS.HSA1-QBB.7 ninth grade high-school Algebra

Anonymous

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a. Estimate the zeros of 2x^{2}+2x-1 from the graph

b. What happens if you try to use the Zero Product Property to find the roots of y = 2x^{2}+2x -1 = 0?

Sangeetha Pulapaka (last edited 4 years ago) (Expert, Educator @Qalaxia)

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Step 1: find the number of zeros from the graph given

The parabola meets the x axis at two points. This means that the graph has two zeros.

Step 2: use the zero product property

Remember what is the zero product property

2x^{2}+2x-1 cannot be factorised as there are no like terms

So we cannot set it to zero.

So we cannot use the zero product property on this quadratic function.