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1.2.8 Algebra and Functions

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Question 48

A polynomial function is defined as

f(x) = x^4 + ax^3 + 2x^2 + bx - 6

where $a$ and $b$ are constants.

When $f (x)$ is divided by $(x - 1)$ , the remainder is $- 10$ . Show that $a + b = - 7$ .

[2]

When $f (x)$ is divided by $(x + 2)$ , the remainder is $2$ . Find the value of $a$ and the value of $b$ .

[4]

Markscheme

1.2.8 Algebra and Functions Questions

A Level
Maths
1.2.8 Algebra and Functions

72 exam-style questions on WJEC A Level Maths 1.2.8 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

1.2.8 Algebra and Functions

Question bank

1.2.8 Algebra and Functions

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61

Question 48

A polynomial function is defined as

f(x) = x^4 + ax^3 + 2x^2 + bx - 6

where $a$ and $b$ are constants.

When $f (x)$ is divided by $(x - 1)$ , the remainder is $- 10$ . Show that $a + b = - 7$ .

[2]

When $f (x)$ is divided by $(x + 2)$ , the remainder is $2$ . Find the value of $a$ and the value of $b$ .

[4]

Markscheme

1.2.8 Algebra and Functions Questions

A Level
Maths
1.2.8 Algebra and Functions

72 exam-style questions on WJEC A Level Maths 1.2.8 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.