Extended functions and relations
Chapter 100 of 13 strong
RESTS ONAdd or subtract polynomials by aligning equal powers and combining their coefficients, including zero coefficients for missing powersFOUNDATIONSMultiply polynomials using complete distribution and exponent laws, then collect equal powersFOUNDATIONSSolve a pair of simultaneous linear equations for the shared (x, y)FOUNDATIONSConstruct direct, contrapositive and contradiction arguments with justified stepsCH 1Use reciprocal functions and their Pythagorean identities with denominator restrictionsCH 7Obtain the other two exact trigonometric ratios from one known ratio and a quadrant or interval, choosing the square-root signs from the stated domainFOUNDATIONSObtain the domain and range of a relation represented by ordered pairs, a table, a rule or described graph data, preserving set membership and open or closed endpointsFOUNDATIONSIdentify the hypotenuse and compute it from the two shorter sidesFOUNDATIONSRead reflection, dilation parallel to the vertical axis, and horizontal or vertical translation from a(x minus h) squared plus k, including the sign inside the bracketFOUNDATIONS
Equating coefficients and partial fractions
Reciprocal and inverse circular functions
Conics and coordinate forms
Absolute value relations