Grade 12

Solving for Zeros and Coefficients

Lesson

Practice

Interactive practice questions

Consider the function $y=x^2+10x+21$y=x2+10x+21.

Determine the zeros of the function. Write all solutions on the same line separated by a comma.

Easy

1min

Solve the following equation:

$\left(x^2-16\right)\left(x^2+12x+36\right)=0$(x2−16)(x2+12x+36)=0

Easy

1min

Solve the following equation:

$x^4-16x^2=0$x4−16x2=0

Easy

1min

Solve the following equation:

$64x^4-81x^2=0$64x4−81x2=0

Easy

2min

Outcomes

12F.C.1.5

Make connections, through investigation using graphing technology, between a polynomial function given in factored form and the x-intercepts of its graph, and sketch the graph of a polynomial function given in factored form using its key features

12F.C.3.3

Determine, through investigation using technology, the connection between the real roots of a polynomial equation and the x-intercepts of the graph of the corresponding polynomial function, and describe this connection

Solving for Zeros and Coefficients

Interactive practice questions

Outcomes

12F.C.1.5

12F.C.3.3

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