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1 of 8 0-day streak

Intersections of a cubic with a line or quadratic

Question 1 of 8

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Let P(x) be the cubic rule and Q(x) be the quadratic partner rule

\[P(x)=-2x^{3} - x^{2} - 3x + 5\]
\[Q(x)=x^{2} - x - 1\]

Use the exact rules shown. At an intersection the two rules have the same output value

(a)1 mark

Which equation should be solved to find the intersections?

(b)2 marks

Determine the common points of the cubic and its partner rule

Give exact values and list the horizontal coordinates in increasing order