Short Quiz

Question 1 of 5

A student tries to factor \(x^{2}+9x+20\) by splitting \(9x\) as \(2x+7x\). Why does this split fail?

A Because \(2+7\ne 9\) B Because \(2\times 7\ne 20\) C Because both numbers must be negative D Because the coefficient of \(x^{2}\) is \(1\)

Select one option. Answers are shown after the test.

Question 2 of 5

If \(x+\frac{1}{x}=3\), what is \(x^{2}+\frac{1}{x^{2}}\)?

A \(5\) B \(7\) C \(9\) D \(11\)

Select one option. Answers are shown after the test.

Question 3 of 5

Which is the correct expansion of \((2x-y+3z)^{2}\)?

A \(4x^{2}+y^{2}+9z^{2}-4xy+12xz-6yz\) B \(4x^{2}+y^{2}+9z^{2}-2xy+6xz-3yz\) C \(4x^{2}-y^{2}+9z^{2}-4xy+12xz+6yz\) D \(4x^{2}+y^{2}+9z^{2}+4xy+12xz+6yz\)

Select one option. Answers are shown after the test.

Question 4 of 5

If \(x-\frac{1}{x}=4\), what is \(x^{2}+\frac{1}{x^{2}}\)?

A \(14\) B \(16\) C \(18\) D \(20\)

Select one option. Answers are shown after the test.

Question 5 of 5

For any three consecutive integers \(n-1,n,n+1\), what is \((n-1)^{2}+(n+1)^{2}-2n^{2}\)?

A \(0\) B \(1\) C \(2\) D \(2n\)

Select one option. Answers are shown after the test.

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