Factor x^2 + bx + c
Grade 9 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Jun draws x² + 9x + 20 as a rectangle. Its two side numbers multiply to 20 and add to 9. Type them like 1, -9. What are the two numbers?
Kira lays tiles for x² + 13x + 30 in a rectangle. The side numbers multiply to 30 and add to 13. Type them like 1, -9. What are they?
Luz sketches x² + 12x + 32 as a quilt block. The side numbers multiply to 32 and add to 12. Type them like 1, -9. What are they?
Milo cuts x² + 14x + 45 into four pieces of paper. The side numbers multiply to 45 and add to 14. Type them like 1, -9. What are they?
Pia is very sure that x² + 10x + 16 = (x + 4)(x + 4). Is Pia right?
- No. It multiplies back to x² + 8x + 16.
- Yes. Both brackets start with x, so the factoring works.
- Yes. 4 × 4 = 16.
- No. The numbers must add to 16.
Ren writes x² + 11x + 30 = (x + 5)(x + 6) on the board. Is Ren right?
- Yes. It multiplies back to x² + 11x + 30.
- No. The two numbers must be the same.
- No. The numbers must add to 30.
- No. It multiplies back to x² + 30x + 11.
Tala checks a friend's answer: x² + 15x + 54 = (x + 3)(x + 18). Is the friend right?
- No. It multiplies back to x² + 21x + 54.
- Yes. Both brackets start with x, so the friend is right.
- No. The numbers must add to 54.
- Yes. 3 × 18 = 54.
Zee draws x² + 11x + 18 as a rectangle and needs its two sides. Which is x² + 11x + 18 factored?
- (x + 4)(x + 7)
- (x + 2)(x + 9)
- (x + 3)(x + 6)
- (x − 2)(x − 9)
Bo builds x² + 16x + 28 from tiles. Which pair of sides fits?
- (x + 2)(x + 14)
- (x + 4)(x + 7)
- (x + 6)(x + 10)
- (x − 2)(x − 14)
Esme needs the sides of a tabletop of x² + 17x + 42 square units. Which is x² + 17x + 42 factored?
- (x + 8)(x + 9)
- (x + 3)(x + 14)
- (x − 3)(x − 14)
- (x + 6)(x + 7)