Question

Factor x2 + x – 42.

An x-method chart shows the product negative 42 at the top of x and 1 at the bottom of x. 7 is on the left side of x and negative 6 is on the right side.
Use the completed X diagram to replace the x-term in the trinomial with two x-terms.

x2 + x – 42 = x2 +
– 42

Next, use double grouping to factor the four terms.

= x(
)–
(x + 7)

=

To verify,
the factors.

Answer 1

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Factor x²+x-42

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First, think of two numbers such that

• If we multiply them we'll get -42
• If we add them we'll get 1

These numbers are:-

7 and -6

Write them here:-

(x+7)(x-6)

Note:-

We don't have to use the Big X method, since the coefficient of x² is 1.

If it's greater than 1, like 2, then the Big X method comes in handy.

Good luck.

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Answer 2

1. 7x-6x

2. x+7

3. 6

4.(x-6)(x+7)

5. multiply

Explanation: