Mathematics

Grade10

Easy

Question

Factorise x²- x - 56

(x + 8) (x + 7)
(x + 8) (x – 7)
(x – 8) (x – 7)
(x – 8) (x + 7)

The correct answer is: (x – 8) (x + 7)

Note that the coefficient of the middle term is -1. Therefore, we are looking for two numbers whose product is -56; their sum is -1, so the absolute value of the negative number must be 1 larger than the absolute value of the positive number. The numbers are -8 and 7 , and we have
$x squared minus x minus 56 equals left parenthesis x minus 8 right parenthesis left parenthesis x plus 7 right parenthesis$

A rectangle has an area of x²+ 7x + 12 inches ². Find the possible dimensions of the rectangle.

MathematicsGrade10

Grade10

Mathematics

In the previous question, if the length of each side of the shaded square is 12 cm, what is the total area of the four white triangles?

MathematicsGrade10

Grade10

Mathematics

Consider the figure shown below. What expression represents the total area of the four white triangles?

MathematicsGrade10

Grade10

Mathematics

Find the product. $91 squared$

MathematicsGrade10

Grade10

Mathematics

Find the product. 34*46

MathematicsGrade10

Grade10

Mathematics

Find a value for m to make a true statement.
$m x squared – 36 equals left parenthesis 3 x plus 6 right parenthesis left parenthesis 3 x – 6 right parenthesis$

MathematicsGrade10

Grade10

Mathematics

What is the product of $left parenthesis 3 x squared – 4 y right parenthesis left parenthesis 3 x squared plus 4 y right parenthesis$ ?

MathematicsGrade10

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Factorise x2 - x - 56

(x + 8) (x + 7)(x + 8) (x – 7)(x – 8) (x – 7)(x – 8) (x + 7)

The correct answer is: (x – 8) (x + 7)

Note that the coefficient of the middle term is -1. Therefore, we are looking for two numbers whose product is -56; their sum is -1, so the absolute value of the negative number must be 1 larger than the absolute value of the positive number. The numbers are -8 and 7 , and we have

Related Questions to study

A rectangle has an area of x2 + 7x + 12 inches ². Find the possible dimensions of the rectangle.

A rectangle has an area of x2 + 7x + 12 inches ². Find the possible dimensions of the rectangle.

Factorise x2 + 15xy + 54y2.

Factorise x2 + 15xy + 54y2.

Factorise x2 – 10xy – 11y2.

Factorise x2 – 10xy – 11y2.

Factorise x2 – 16xy + 28y2.

Factorise x2 – 16xy + 28y2.

What is the factored form of 4x3 – 24x2 – 28x?

What is the factored form of 4x3 – 24x2 – 28x?

Factorise x2 – 13x + 12.

Factorise x2 – 13x + 12.

Factorise x2 – 2x – 8.

Factorise x2 – 2x – 8.

Factorise x2 + 3x - 10.

Factorise x2 + 3x - 10.

Factorise x2 – 11x + 24.

Factorise x2 – 11x + 24.

In the previous question, if the length of each side of the shaded square is 12 cm, what is the total area of the four white triangles?

In the previous question, if the length of each side of the shaded square is 12 cm, what is the total area of the four white triangles?

Consider the figure shown below. What expression represents the total area of the four white triangles?

Consider the figure shown below. What expression represents the total area of the four white triangles?

Find the product.

Find the product.

Find the product. 34*46

Find the product. 34*46

Find a value for m to make a true statement.

Find a value for m to make a true statement.

What is the product of ?

What is the product of ?

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Factorise x²- x - 56

(x + 8) (x + 7)
(x + 8) (x – 7)
(x – 8) (x – 7)
(x – 8) (x + 7)

A rectangle has an area of x²+ 7x + 12 inches ². Find the possible dimensions of the rectangle.

A rectangle has an area of x²+ 7x + 12 inches ². Find the possible dimensions of the rectangle.

Factorise x² + 15xy + 54y².

Factorise x² + 15xy + 54y².

Factorise x² – 10xy – 11y².

Factorise x² – 10xy – 11y².

Factorise x² – 16xy + 28y².

Factorise x² – 16xy + 28y².

What is the factored form of 4x³ – 24x² – 28x?

What is the factored form of 4x³ – 24x² – 28x?

Factorise x²– 13x + 12.

Factorise x²– 13x + 12.

Factorise x² – 2x – 8.

Factorise x² – 2x – 8.

Factorise x² + 3x - 10.

Factorise x² + 3x - 10.

Factorise x²– 11x + 24.

Factorise x²– 11x + 24.

Find the product. $91 squared$

Find the product. $91 squared$

Find a value for m to make a true statement.
$m x squared – 36 equals left parenthesis 3 x plus 6 right parenthesis left parenthesis 3 x – 6 right parenthesis$

Find a value for m to make a true statement.
$m x squared – 36 equals left parenthesis 3 x plus 6 right parenthesis left parenthesis 3 x – 6 right parenthesis$

What is the product of $left parenthesis 3 x squared – 4 y right parenthesis left parenthesis 3 x squared plus 4 y right parenthesis$ ?

What is the product of $left parenthesis 3 x squared – 4 y right parenthesis left parenthesis 3 x squared plus 4 y right parenthesis$ ?