1,045 prompts matching "Treating the dot product of two vectors as another vector"
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Show All Working: Adding and subtracting two polynomials
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on adding and subt
Complete the square for x^2 + 6x + 5 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 6x + 5 = 0 by c
Complete the square for x^2 - 4x - 1 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 4x - 1 = 0 by c
Complete the square for x^2 + 8x + 10 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 8x + 10 = 0 by
Complete the square for 2x^2 + 4x - 3 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 + 4x - 3 = 0 by
Complete the square for x^2 - 10x + 21 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 10x + 21 = 0 by
Complete the square for x^2 + 3x - 4 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 3x - 4 = 0 by c
Complete the square for 3x^2 + 6x - 2 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 6x - 2 = 0 by
Quiz me on completing the square to find a turning point
Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve
Explain completing the square back to me
Act as my SS2 Further Maths tutor. I'll explain the completing the square method back to y
Why does completing the square work
Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work
Derive the quadratic formula
Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form
Quiz me on checking both pairs of solutions of a linear-quadratic pair
Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Teach me long division of polynomials
Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of
Worked example: using the factor theorem to factorise a cubic
Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor
Give me practice factorising polynomials with the factor theorem
Act as my SS2 Further Maths tutor. Give me six practice questions where I use the factor t
Spot my mistake using the remainder theorem
Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I
Teach me the truth table for negation
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation
Teach me the truth table for conjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti