Factorise Trinomials (Quadratics) 3

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Question 1 of 4

1. Question
Factorise.

$y^{2} - 19 y + 48$ $y^2-19y+48$
- 1. $(y - 4) (y - 12)$ $(y-4)(y-12)$
- 2. $(y - 6) (y - 8)$ $(y-6)(y-8)$
- 3. $(y - 2) (y - 24)$ $(y-2)(y-24)$
- 4. $(y - 3) (y - 16)$ $(y-3)(y-16)$
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When factorising trinomials, use the Cross Method.

Use the cross method to factorise $y^{2} - 19 y + 48$ $y^2-19y+48$

Start by drawing a cross.

Next, find two numbers that will multiply into $48$ $48$ and add up to $- 19$ $-19$

Product Sum

$- 2$ $-2$ and $- 24$ $-24$ $48$ $48$ $- 26$ $-26$

$- 3$ $-3$ and $- 16$ $-16$ $48$ $48$ $- 19$ $-19$

$- 4$ $-4$ and $- 12$ $-12$ $48$ $48$ $- 16$ $-16$

$- 6$ $-6$ and $- 8$ $-8$ $48$ $48$ $- 14$ $-14$

$- 3$ $-3$ and $- 16$ $-16$ fits this description.

Next, write $- 3$ $-3$ and $- 16$ $-16$ on the right side of the cross.

Now, find two values that will multiply into $y^{2}$ $y^2$ and write them on the left side of the cross.

$y$ $y$ and $y$ $y$ fits this description.

Finally, group the values in a row with a bracket and combine the brackets.

Therefore, the factorised expression is $(y - 3) (y - 16)$ $(y-3)(y-16)$ .

$(y - 3) (y - 16)$ $(y-3)(y-16)$
Question 2 of 4

2. Question
Factorise.

$t^{2} - 16 t + 63$ $t^2-16t+63$
- 1. $(t - 8) (t - 8)$ $(t-8)(t-8)$
- 2. $(t - 3) (t - 21)$ $(t-3)(t-21)$
- 3. $(t - 1) (t - 63)$ $(t-1)(t-63)$
- 4. $(t - 7) (t - 9)$ $(t-7)(t-9)$
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When factorising trinomials, use the Cross Method.

Use the cross method to factorise $t^{2} - 16 t + 63$ $t^2-16t+63$

Start by drawing a cross.

Next, find two numbers that will multiply into $63$ $63$ and add up to $- 16$ $-16$

Product Sum

$- 7$ $-7$ and $- 9$ $-9$ $63$ $63$ $- 16$ $-16$

$- 1$ $-1$ and $- 63$ $-63$ $63$ $63$ $- 64$ $-64$

$- 3$ $-3$ and $- 21$ $-21$ $63$ $63$ $- 24$ $-24$

$- 7$ $-7$ and $- 9$ $-9$ fits this description.

Next, write $- 7$ $-7$ and $- 9$ $-9$ on the right side of the cross.

Now, find two values that will multiply into $t^{2}$ $t^2$ and write them on the left side of the cross.

$t$ $t$ and $t$ $t$ fits this description.

Finally, group the values in a row with a bracket and combine the brackets.

Therefore, the factorised expression is $(t - 7) (t - 9)$ $(t-7)(t-9)$ .

$(t - 7) (t - 9)$ $(t-7)(t-9)$
Question 3 of 4

3. Question
Factorise.

$x^{2} - 14 x + 24$ $x^2-14x+24$
- 1. $(x - 2) (x - 12)$ $(x-2)(x-12)$
- 2. $(x - 3) (x - 8)$ $(x-3)(x-8)$
- 3. $(x - 4) (x - 6)$ $(x-4)(x-6)$
- 4. $(x - 1) (x - 24)$ $(x-1)(x-24)$
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When factorising trinomials, use the Cross Method.

Use the cross method to factorise $x^{2} - 14 x + 24$ $x^2-14x+24$

Start by drawing a cross.

Next, find two numbers that will multiply into $24$ and add up to $-14$

Product Sum

$-2$ and $-12$ $24$ $-14$

$-3$ and $-8$ $24$ $-11$

$-4$ and $-6$ $24$ $-10$

$-2$ and $-12$ fits this description.

Next, write $-2$ and $-12$ on the right side of the cross.

Now, find two values that will multiply into $x^2$ and write them on the left side of the cross.

$x$ and $x$ fits this description.

Finally, group the values in a row with a bracket and combine the brackets.

Therefore, the factorised expression is $(x-2)(x-12)$ .

$(x-2)(x-12)$
Question 4 of 4

4. Question
Factorise.

$t^2-15t+54$
- 1. $(t+54)(t-1)$
- 2. $(t-18)(t-3)$
- 3. $(t+2)(t+27)$
- 4. $(t-6)(t-9)$
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When factorising trinomials, use the Cross Method.

Use the cross method to factorise $t^2-15t+54$

Start by drawing a cross.

Next, find two numbers that will multiply into $54$ and add up to $-15$

Product Sum

$-2$ and $-27$ $54$ $-29$

$-3$ and $-18$ $54$ $-21$

$-6$ and $-9$ $54$ $-15$

$-6$ and $-9$ fits this description.

Next, write $-6$ and $-9$ on the right side of the cross.

Now, find two values that will multiply into $t^2$ and write them on the left side of the cross.

$t$ and $t$ fits this description.

Finally, group the values in a row with a bracket and combine the brackets.

Therefore, the factorised expression is $(t-6)(t-9)$ .

$(t-6)(t-9)$

Factorise Trinomials (Quadratics) 3

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1. Question

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2. Question

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3. Question

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4. Question

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Quizzes

	Product	Sum
$- 2$ $-2$ and $- 24$ $-24$	$48$ $48$	$- 26$ $-26$
$- 3$ $-3$ and $- 16$ $-16$	$48$ $48$	$- 19$ $-19$
$- 4$ $-4$ and $- 12$ $-12$	$48$ $48$	$- 16$ $-16$
$- 6$ $-6$ and $- 8$ $-8$	$48$ $48$	$- 14$ $-14$

	Product	Sum
$- 7$ $-7$ and $- 9$ $-9$	$63$ $63$	$- 16$ $-16$
$- 1$ $-1$ and $- 63$ $-63$	$63$ $63$	$- 64$ $-64$
$- 3$ $-3$ and $- 21$ $-21$	$63$ $63$	$- 24$ $-24$

	Product	Sum
$-2$ and $-12$	$24$	$-14$
$-3$ and $-8$	$24$	$-11$
$-4$ and $-6$	$24$	$-10$

	Product	Sum
$-2$ and $-27$	$54$	$-29$
$-3$ and $-18$	$54$	$-21$
$-6$ and $-9$	$54$	$-15$