Question

1. $p^2 + p - 20$
2. $a^2 - 11a + 30$
3. $x^2 - 13x + 36$
4. $b^2 - 9b + 20$

Explanation:

Problem 3: $p^2 + p - 20$

Step1: Find factor pairs of -20

Pairs: $(5, -4)$ since $5 + (-4) = 1$

Step2: Factor the quadratic

$p^2 + p - 20 = (p + 5)(p - 4)$

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Problem 4: $a^2 - 11a + 30$

Step1: Find factor pairs of 30

Pairs: $(-6, -5)$ since $-6 + (-5) = -11$

Step2: Factor the quadratic

$a^2 - 11a + 30 = (a - 6)(a - 5)$

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Problem 5: $x^2 - 13x + 36$

Step1: Find factor pairs of 36

Pairs: $(-9, -4)$ since $-9 + (-4) = -13$

Step2: Factor the quadratic

$x^2 - 13x + 36 = (x - 9)(x - 4)$

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Problem 6: $b^2 - 9b + 20$

Step1: Find factor pairs of 20

Pairs: $(-5, -4)$ since $-5 + (-4) = -9$

Step2: Factor the quadratic

$b^2 - 9b + 20 = (b - 5)(b - 4)$

Answer:

1. $(p + 5)(p - 4)$
2. $(a - 6)(a - 5)$
3. $(x - 9)(x - 4)$
4. $(b - 5)(b - 4)$