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Algebra and Functions 1

Easy Medium

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Question 16

$x2+2x+3≡(x+a)2+bx^2 + 2x + 3 \equiv (x + a)^2 + b$ .

Find the values of the constants $a\,$ and $b$ .

[3]

Sketch the graph of $y = x^2 + 2x + 3$ , indicating clearly the coordinates of any intersections with the coordinate axes.

[3]

Find the value of the discriminant of $x^2 + 2x + 3$ . Explain how the sign of the discriminant relates to your sketch in part (b).

[2]

The equation $x^2 + kx + 3 = 0$ , where $k\,$ is a constant, has no real roots. Find the set of possible values of $k$ , giving your answer in surd form.

[4]

Markscheme

Algebra and Functions 1 Questions

A Level
Old Maths
Algebra and Functions 1

18 exam-style questions on Edexcel A Level Old Maths Algebra and Functions 1. Each one has a worked solution and a mark scheme showing where the marks go.

Algebra and Functions 1

Question bank

Algebra and Functions 1

Easy Medium

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Question 16

$x2+2x+3≡(x+a)2+bx^2 + 2x + 3 \equiv (x + a)^2 + b$ .

Find the values of the constants $a\,$ and $b$ .

[3]

Sketch the graph of $y = x^2 + 2x + 3$ , indicating clearly the coordinates of any intersections with the coordinate axes.

[3]

Find the value of the discriminant of $x^2 + 2x + 3$ . Explain how the sign of the discriminant relates to your sketch in part (b).

[2]

The equation $x^2 + kx + 3 = 0$ , where $k\,$ is a constant, has no real roots. Find the set of possible values of $k$ , giving your answer in surd form.

[4]

Markscheme

Algebra and Functions 1 Questions

A Level
Old Maths
Algebra and Functions 1

18 exam-style questions on Edexcel A Level Old Maths Algebra and Functions 1. Each one has a worked solution and a mark scheme showing where the marks go.